I do not have Carson's commentary, do you have it?
If so, what does it say?
I was not very familiar with NCT until you asked the question, so I googled it and read some.
So, correct me if I am wrong, but in short this is what I learned.
New Covenant Theology: New Covenant Theology believes that the New Covenant law of Christ replaces the Old Covenant law of Moses.
I believe the exact opposite; I believe that there in continuity throughout the entire scriptures. Gen – Rev, one big book, progressively revealing itself and building precept on precept.
I would have to say, that if NCT says that the New Covenant, being Jer 31, replaces the Old Covenant, we have again, some scriptures to reconcile.
I would submit this, that Jesus had a perfect opportunity in Mat 5:17-20 to expound on and promote NCT, but he says the exact opposite.
Jesus says, I am paraphrasing - Don't think that I am here to destroy the Scriptures, I did not come to destroy them, but to confirm or establish them.
Thank you David for giving me the opportunity to share.
I hope we can continue our dialog. I have learned a lot, thus far.
Be diligent to present yourself approved to God
as a workman who does not need to be ashamed,
handling accurately the word of truth.