Shem, Ham and Japheth

Can it be proven that all Jews are Israelites, and all Israelites are Jews? Can it be proven by the word of God that Abraham, Isaac, Jacob and Jesus were Jews as we know the Jewish people today? Can it be proven that the Jews brought us salvation? Can it be proven that Christianity is based on Judaism? What is your definition of Judaism? Can it be proven that after the rapture all Jews will accept Christ and evangelize the world? But yet that's what's being taught from so many pulpits and classrooms today. Now if all modern day Jewish people comprise all thirteen Tribes of Israel, God's promise of Jeremiah 31:31-34 has failed and the blood of Jesus was ineffective for atonement, to ratify a new covenant with the house of Israel and the house of Judah. If the covenant of Jeremiah 31:31 was promised to Israel and if the Jews are Israel, then that promise of a New Covenant is ineffective. It just simply didn't work, but the covenant of Jeremiah 31:31 and the promise thereof worked and therefore that New Covenant has been made with the house of Israel and the house of Judah, the lineage of Israel and the lineage of Judah.