Do messianic Jews claim to be the beneficiaries of the new covenant now? Do messianic Jews say that the following is true in their lives?:


  NIV Jer 31:
  33b: ...“I will put my law in their minds
  and write it on their hearts.
  I will be their God,
  and they will be my people.
  34No longer will they teach their neighbor,
  or say to one another, ‘Know the Lord,’
  because they will all know me,
  from the least of them to the greatest,”


We are told in Hebrews 10:9-18 (and elsewhere) that Jesus ratified the new covenant with the houses of Israel and Judah when he died. It appears that the new covenant speaks of a pan-Israeli supernatural knowledge  of the Torah rather than individual knowledge involving teaching that I've not heard any express as being realized in modern times.

What do messianic Jews say about the outworking of the new covenant? Was it fulfilled in apostolic times and now gone? Is it active now? Or will it be active in the future?
I knew a Messianic Rabbi years ago, he and his congregation definitely accepted the New Covenant and the same goes for others I have since met online.  (Meaning they accepted Christ as Savior, accepted the Council of the Book of Acts that gentiles are not bound by the Mosaic law etc.).

Anyway, that rabbi tended to relate Messianic Judaism along the lines of "Wild" and "Natural" Olive Tree branches quoted at the end of this post.   His ambition was to be an evangelistic outreach to traditional Jews, as well as provide a spiritual home for them, and he wanted to be a resource for gentiles that would show them the Jewish context of the Gospel and the rest of the Bible (I think he wanted to do a lot the stuff that Jonathan Cahn currently does).


  Romans 11
  13 I am talking to you Gentiles. Inasmuch as I am the apostle to the Gentiles, I take pride in my ministry 14 in the hope that I may somehow arouse my own people to envy and save some of them. 15 For if their rejection brought reconciliation to the world, what will their acceptance be but life from the dead? 16 If the part of the dough offered as firstfruits is holy, then the whole batch is holy; if the root is holy, so are the branches.
  
  17 If some of the branches have been broken off, and you, though a wild olive shoot, have been grafted in among the others and now share in the nourishing sap from the olive root, 18 do not consider yourself to be superior to those other branches. If you do, consider this: You do not support the root, but the root supports you. 19 You will say then, “Branches were broken off so that I could be grafted in.” 20 Granted. But they were broken off because of unbelief, and you stand by faith. Do not be arrogant, but tremble. 21 For if God did not spare the natural branches, he will not spare you either.