Those Scriptures do not work the way you describe when we look at our lives objectively. Yes, we are made truly righteous and holy in the inner man as a result of spiritual birth, but there is another law at work in the flesh (see Romans 7).
The practical result of this is that we all gratify the desires of the flesh (rather often from my observations of myself and other Christians). So to say Jesus saves us in this life from the power of the flesh to drag us away into sin is just delusional. I know of no person alive today who has lived a life free of the sins of the flesh.
Furthermore, the gospel must address the sins of the flesh, or else there is no “good news” for anyone.
Romans 6:14. For we know that the law is spiritual; but I am of the flesh, sold into slavery under sin. {Gk [sold under sin]}
15. I do not understand my own actions. For I do not do what I want, but I do the very thing I hate.
16. Now if I do what I do not want, I agree that the law is good.
17. But in fact it is no longer I that do it, but sin that dwells within me.
18. For I know that nothing good dwells within me, that is, in my flesh. I can will what is right, but I cannot do it.
19. For I do not do the good I want, but the evil I do not want is what I do.
20. Now if I do what I do not want, it is no longer I that do it, but sin that dwells within me.
21. So I find it to be a law that when I want to do what is good, evil lies close at hand.
22. For I delight in the law of God in my inmost self,
23. but I see in my members another law at war with the law of my mind, making me captive to the law of sin that dwells in my members.
24. Wretched man that I am! Who will rescue me from this body of death?
25. Thanks be to God through Jesus Christ our Lord!
So then, with my mind I am a slave to the law of God, but with my flesh I am a slave to the law of sin. (NRSV)
In v. 22, the speaker says that in his inmost self he delights in the law of God . However, Paul wrote in 1 Cor. 15:56 “the power of sin is the law.” Would Paul write that in his inmost self he delights in the power of sin? All of Romans 7:14-25 is about a man who with every ounce of his being is striving to keep the law but is finding that he is not able to. But in Romans 6 Paul had written, “For sin will have no dominion over you, since you are not under law but under grace.
No real Christian strives to keep the law because he is not under the law and the law is the power of sin. So, who is this man who with every ounce of his being is striving to keep the law but is finding that he is not able to? He’s a Jew who, being a good Jew without Christ, delights in the law of God—but in vain! Therefore, what we have in these verses is a rhetorical device commonly known in Christian literature and elsewhere as “speech-in-character.”
Paul also wrote in Romans 6,
1. What then are we to say? Should we continue in sin in order that grace may abound?
2. By no means! How can we who died to sin go on living in it?
3. Do you not know that all of us who have been baptized into Christ Jesus were baptized into his death?
4. Therefore we have been buried with him by baptism into death, so that, just as Christ was raised from the dead by the glory of the Father, so we too might walk in newness of life.
5. For if we have been united with him in a death like his, we will certainly be united with him in a resurrection like his.
All Scriptures are from the NRSV)
