The proper temple has already been rebuilt. There is no other.
John 2:19-22
Jesus answered them, “Destroy this temple, and I will raise it again in three days.”
They replied, “It has taken forty-six years to build this temple, and you are going to raise it in three days?”
But the temple he had spoken of was his body.
After he was raised from the dead, his disciples recalled what he had said. Then they believed the scripture and the words that Jesus had spoken.
For Jews, your statement is simply not true. The Final Redeemer (“Moschiach” in Hebrew, “Messiah” in English) will build the 3rd Temple…and before you start in with him “coming back,” two things: 1) according to your own scriptures, he already came back (so you’re really waiting for the 3rd coming)…oh, and in that 2nd swing at life, he didn’t build the 3rd Temple, didn’t ingather all of the Jewish exiles, didn’t create universal peace (in fact the century after he died was among the most brutal and war-filled in human history), and didn’t teach the entire world to accept the God if Abraham, Isaac and Jacob (even to this day, NO ONE has done that) - so he failed every important test to be the Final Redeemer; 2) if you’re going to argue for a 2nd at bat (or a third), then ANYONE could be the Final Redeemer. This contention is utterly unverifiable, and thus cannot be valid.
Besides, when the guy you worship was around, the 2nd Temple was standing, and continued to do so for approximately 40 years after he was gone. It simply wasn’t destroyed, for him to be able to rebuild.