We are indeed obedient to the spirit of the law as believing, born again Christians. The law is written on our hearts and in our minds, as even a few have said here; and this is substantiated by Hebrews 8:8-10, Hebrews 10:16,
Also the love of the Lord is shed abroad in our hearts by the Holy Ghost (Romans 5:5); and this love is the fulfilling of the law (Romans 13:8-10, Galatians 5:14, 1 John 5:3, 2 John 1:6), being not in word or in tongue only but in deed and in truth (1 John 3:17-18). Therefore we are governed by the law on the inside.
That being said, we can no longer be condemned by the law from the outside. We are forgiven of all of our sins. We are therefore no longer under the law but under grace (Romans 6:14). We are dead to the law (Romans 7:4, Galatians 2:19). And we are delivered from the law (Romans 7:6).
Since we saw before that the law governs us from the inside, these things do not mean that we no longer have any relationship to the law. We are governed by its precepts. However, there is no longer any condemnation if we were to violate any of these precepts. We are forgiven of past, present, and future sin (Romans 4:8, Romans 8:37-38, Hebrews 9:12). But of course this is predicated on being born again; which precludes that I have a desire to be obedeint to the Lord, even His commandments.
Therefore there is now no condemnation for those who are in Christ Jesus, who walk not after the flesh but after the Spirit.
For those who are spiritually-minded are subject in their minds to the law of the Lord (Romans 8:7); and the righteousness of the law is fulfilled in them (Romans 8:4).
These things being said, we are also not redeemed in any fashion through law-keeping.
We are redeemed solely by the blood of the Lamb; and this results in obedience to the Lord; because the blood of Jesus cleanses us from all sin (1 John 1:7); so that we "
doth not commit sin" and "
cannot sin" (1 John 3:9); where "
sin is the transgression of the law" (1 John 3:4). However, it is not the letter anymore that binds us; but we are supernaturally obedient to the spirit of the law (Romans 7:6).
He is "
able to keep you from falling" and to "
present you faultless" (Jude 1:24); so that you will "
never fall" (2 Peter 1:10) because "
there is none occasion of stumbling in you." (1 John 2:10).
Therefore, there is a certain amount of holiness that will develop in the life of anyone who is truly born again; for it is written,
1Pe 1:13, Wherefore gird up the loins of your mind, be sober, and hope to the end for the grace that is to be brought unto you at the revelation of Jesus Christ;
1Pe 1:14, As obedient children, not fashioning yourselves according to the former lusts in your ignorance:
1Pe 1:15, But as he which hath called you is holy, so be ye holy in all manner of conversation;
1Pe 1:16, Because it is written, Be ye holy; for I am holy.