I see your point but scripture doesn't support it.Well firstly, christians do know in their minds God does not want them to steal, commit adultery, take the Lord's name in vain, covet murder, and they would say in their hearts they do not want to do those things. So whichever way you look at it, what was once engraved in stone is now in the hearts and minds of believers
Of course its still a different covenant, under the new one ''law'' has been transferred from an external law and is now an internal law, and under the new covenant:
Christ is the end of the law UNTO RIGHTEOUSNESS for everyone who believeth Rom10:4
If Christ is the end of the law, why do you bring it along?
I think you are mistaken about what laws from God are written on our hearts.
Galatians 3:23-25 NIV
Before the coming of this faith,[a]
we were held in custody under the law,
locked up until the faith that was to come would be revealed.
24 So the law was our guardian until Christ came that we might be justified by faith.
25 Now that this faith has come, we are no longer under a guardian.