During the Church Age, the only holy temple is the body of the believer, where the Holy Spirit indwells, providing the temple for Christ who is one with the Father. There are no holy buildings during the church age, but isn't it interesting how counterfeits will seek to contrive false doctrines upin their own false edifices erected in the name of counterfeit worship.
Plenty of truth in your statements.
But there are some Biblical mysteries about what God is going to do with the Temple in the end times . . .
There will still be a Temple rebuilt for and by the Jews. You can chat all you want about the "church age" and no "holy buildings" but the Bible doesn't see it your way. The Jews haven't disappeared from the planet yet.