You say the Jews will live in the Millennium under the Messiah, and then go on to their eternal destiny in what we call Israel. Will these Jews have eternal life? Will they go to Heaven when they die if they are faithful to Messiah? You say their fate is different from the Church, but do they have eternal life, or is that not stated?
Beginning with the Millennium, believing Jews from before and after the Church Age will all dwell in Israel. In Ezekiel 43 the prophet tells about God returning to the Temple in Israel at the beginning of the Millennium, for the first time in over 2600 years. In Ezekiel 43:7 God said: “Son of man, this is the place of my throne and the place for the soles of my feet. This is where I will live among the Israelites forever.”
Two verses later He repeated this promise. We take this to mean just what it says, that God will live in Israel among His people forever. Believing Jewish people have eternal life just like the church. The difference is where the two groups dwell in eternity. They’ll be in Israel, and we’ll be in the New Jerusalem.