Without the law there is no definition or process of sanctification. So, following your though process here, I would like to add, that there must be a law in effect or there is no due process of the same said law. Yeshua's purpose vanishes. The definition of sin vanishes.
If the 'new' covenant has no law, then the previously existing Law remains in place, because it has not been prorogued or revoked in order to be of no effect. Circumcision of the heart is, as already explained on here, the means of sanctification (as in Acts 2:37); it is not a replacement of the original Covenant and Law. Sanctification is the result of circumcision of the heart - it makes the truth of G_d come alive in our hearts, by which we find salvation only in Yeshua, as in the circumcision of the hearts of the Jews in Acts 2. They were still under the Covenant and Law, and that only changed, finally, when the Temple was destroyed, but the Covenant and the Law remained, even if a part of it could no longer be carried out; the Jews had lived for years with no Temple - they were quite used to it, in fact, and all the more appreciative of it when next a Temple was built, as in Ezra etc.
What changed from Tanach to Christian Testament, is that the long awaited Messiah has arrived to show us that we can repent, and be circumcised in the heart, instead of sacrificing animals, and circumcision of the heart, being an action of the heart, means that the Priestly Sacrificial system, is now of no effect because there is no Temple, at this point in time. No one in the Bible says, if read properly, that Messiah's arrival heralded a new Covenant there and then. Should a Temple be erected, then the Priestly Sacrificial system would immediately restart, and the complete Law would be in effect, once again. Should that happen and we have this 'new' covenant which has no Law, we Messianics would have quite a choice to make - to be law full, or lawless?
1 Cor. 13 gives an excellent view of circumcision of the heart, and what its real effect should be, as does Acts 2. See in particular Paul's words in vs 9-13. Ezekiel points to the same, as does Hebrews - but it is not now, it is clearly yet to be, but 'yet to be' does not imply throwing everything out from the Covenant and Law - it means that in G_d's good time we shall see the perfect, because when he comes to rule, there will be perfection - all will know scripture in their heart. There will be no more teaching your brother or sister about G_d, all will know it as the waters cover the sea. There will be no sin, so no need for sacrifices in heaven. There will be no sanctification, because that will have happened already. There will be no need for the Covenant or the Law because his true, new Covenant, found in the tail end of Revelation will be in effect. It is to this that many texts in scripture point, from Abraham onwards. Now, we see as through a glass, darkly, then we shall see [G_d] face to to face (look up where else that phrase occurs!
As Paul rightly says, we need to give up the milk and start eating the meat. We need to re-read 1 Cor. 13:11 - we all chatter about this like children, whilst the unlocked scripture tells 'grown ups' of the unfolding brilliance of G_d's plan for us, the real meat with which to get to grips.
PS 1 Cor. 13 has absolutely nothing to do with weddings in our world! It is about G_d's plan, unfolding before us.