The rest of 6 is an exhortation for Christians to not chain themselves back to the sin that God has freed them from, because a person cannot be actively both a servant of sin and God because of the direct opposition. Then the start of Chapter 7 is an exhortation for Christians not to chain themselves back to the closely sin-associated Jewish Law that Christ has freed them from. Here in Romans Chapter 7 verses 1 through 6, being in any way alive to the Jewish Law is declared to be mutually exclusive to being aligned with Jesus Christ. Paul tells us what Jesus Christ told us in the Gospels with His demands for all to either offer absolute allegiance to His Person or to have no communion with the Person of the Father. After the analogy (Rm. 7:1-3) of how a previous marriage cannot be rightfully ended until the former spouse is dead, verse 4 says "Wherefore, my brethren, ye also are become dead to the law by the body of Christ; that ye should be married to another, even to him who is raised from the dead, that we should bring forth fruit unto God." Therefore "death to Judaism!" has its place in Scripture, and for a pope or anyone else to campaign against anti-Judaism is entirely at odds with the spirit and truth that is at the heart of Christianity. One cannot rightfully be a pure Christian until one destroys any allegiance with Judaism. Wearing menorahs, speaking of "Judeo-Christian" values, defending the name and people of modern Israel more than the name and people of Jesus Christ, letting synagogues and their diametrically-opposed religious activities publicly take place unchallenged in what should be our Christian nations, these are most horrible violations of the monogamy of monotheism. Having a synagogue next to a church in what should be the City of God and His true religion — now fully implemented as Christianity alone — is akin to David allowing a Temple of Baal in Jerusalem in his day, and Paul will allude to this complex but accurate comparison in Romans 11 of all places. David was a passionate worshiper of the Father in the correct manner of his day, but his infinitely greater legacy is that his Son in the flesh, Jesus Christ, fully established the only legitimate religion on earth to be Christianity forevermore. David's heart would rage against any Temple of non-Christianity today with greater indignation and fury than he would have a Temple of Baal in his own clouded times.
When in Romans verse 6:4 Paul urged us to "walk in newness of life," he was intermediately focused on the symptom of sin, in between his denunciation of the Jewish Law ranging from verse 5:20 to the conclusion in 6:14. However now in verse 7:6, Paul again uses "newness of spirit" but this time focuses squarely on the disease itself. The KJV translates, "But now we are delivered from the law, that being dead wherein we were held; that we should serve in newness of spirit, and not in the oldness of the letter." The NIV and ESV frame it as "new way of the Spirit" vs. "the old way of the written code." Judaism is obviously "the old way" in verse 6 and who delivered us from it is obviously Jesus Christ as spelled out in verse 4. Christianity is the "new way," not in terms of when it originated in God's mind, but in terms of when it was finalized on the cross and released worldwide by the Same (suppl. 2 Tim. 1:9-10). Romans 4:14 taught us that "if they which are of the law" — read Jews — "be heirs, faith is made void, and the promise is made of none effect," and Galatians 2:21 teaches us that "if righteousness come by the law, then Christ is dead in vain." Does Romans Chapter 7 not then teach us that if we serve the Law instead of Christ, and that if we live as Jews instead of Christians, that we are choosing to invalidate the effect of Jesus Christ in our own lives? More absolutely than this, if we are "married" to Jewishness, that we are logically excluded from being legitimate Christians? Yes and yes, Romans Chapter 7 sets the choice as either being dead to the old way or dead to the new way. Only if one is dead to Judaism can one be alive in Christianity. Therefore, there should be no seeking of compromise with what God has commanded us to oppose, nor any attempts to find an "interfaith" medium between two positions that God has polarized for our benefit (suppl. 2 Cor. 6:14-17). We should kill such impulses to revive what Christ spiritually killed by such an incomparably passionate act of invalidation — and restorative replacement — of the limited law of the Jews with the universal law of faith. Searching one's heart and mind, the origin of such desires in our current era can usually be found in having followed the crowd in what is a heretical society. When a person has been taught incorrectly as Jews were and are, which most modern Christians have been due to the level of Jewish malevolent infiltration into the Christian religion through Zionism and democratically-propagated social pressure, it is difficult to read such passages of God's Word by "seeing with one's own eyes." In other words, when the Jewish way is as popular as it is now, it is difficult to understand and/or accept that we should be dead to what is popular. For the pastor who fears that he will lose congregation and therefore income and position, for the Christian commentator who seeks reputation among the cave dwellers, for the Christian writer who is trying to sell books, it is difficult to assert what is unpopular and true rather than what is popular and false. Taking "popular Christianity" out of the cave of Judaization and Zionism at this point will be a difficult extraction to say the least, but there is no better human mechanism to work toward such ends than an index finger which humbly points to the New Testament of which Paul's letter to the Romans follows only the Gospels and Acts in holy utility.
Recall that from the latter part of Romans Chapter 3 to the end of Romans Chapter 11, Paul is demonstrating that Christianity is objectively superior in every way to Judaism in God's mind — one His true Way and the other a spurious way. He is also demonstrating that Jews in their human nature and salvation opportunities are theoretically no worse off than us, but only that their Law has made it more practically difficult for them to see that Jesus Christ must free them from sin and death. He has told us that the Law inevitably produces sin in Jews and those living like Jews, but exactly how so? Chapter 7 verses 7 to 25 explains that the Law in itself is not sin but that it is indeed virtually-irresistible fuel for sin to work death by the carnal nature of any person entangled in it (suppl. 1 Cor. 15:56). Paul, using his own personal experience in his prior life before conversion, amazingly describes a man's mind under the Law as being practically deprived of its free will. The NIV cutely translates verse 14 as "For what I want to do I do not do, but what I hate I do." The Law being "good" and just, the man being carnally inclined by nature, when the two clash the outcome is inevitably "bad" because the man's sinful nature wins out from incontinence (lack of self-restraint) to the stimulus. Though he theoretically has free will, it is the same that prevents him from doing the good that he otherwise wishes, because he is inevitably convinced by bodily desire to give into the sins that the Law has allured him to. The sin is the criminal but technically the Law is the prolific accomplice as Paul admits, somewhat similarly to how the body is singled out by him as the guilty party but logically we may theorize that it is the free will of the mind that ultimately submits to the body. It is all very Platonic and undeniable that most men will end up acting immorally because their minds will usually give into their bodies, since they have not gained what is readily available to modify their self-control. Depending on the perspective taken, the mind may be stated as a good phenomenon which it in many ways is, but practically ends up acting immorally and contrary to God especially in common or "democratic" group-think decisions (Lk. 16:15). Christianity reiterated that even the most moral of human minds (individuals) have faults and, beyond the achievements of Platonism, revealed Jesus Christ as the only pragmatic way to forever overcome our separation from God in terms of justification in His essentially true and inherently moral mind. Jesus Christ is what Judaism most lacks in truth and, contrary to classical Greek philosophy, Jesus Christ is the solution to which Judaism was and is most naturally opposed. This is evidenced by how they thought that they could overcome inherent human flaws without submission to the power of the King but with legality-based discipline and constancy of their common people. Paul, speaking as if he was still one of that persuasion asks "O wretched man that I am! who shall deliver me from the body of this death?", then as the vicious-cycle-rescued Christian he now is answers "Thanks be to God, who delivers me through Jesus Christ our Lord!" (Rm. 7:24-25).