God (Jesus) has always reigned over all the kingdoms of the earth. He used Assyria to destroy Israel and Babylon to destroy Jerusalem, then destroyed each of them. He is and always will be in charge of the nations.
Jesus has made a new Covenant with Israel - but only the Israelites who accept Jesus (as Paul says) are the “true Israel” and are a part of it.
Don’t wait for Jesus to “finish” the job - He has completed His work. He is the “head” of His Church and we are His hands and feet to do His work while we are here. We need to do our job!
No, this is "true" Israel:
Romans 6:6Not as though the word of God hath taken none effect. For they are not all Israel, which are of Israel: 7Neither, because they are the seed of Abraham, are they all children: but, In Isaac shall thy seed be called. 8That is, They which are the children of the flesh, these are not the children of God: but the children of the promise are counted for the seed.