My understanding of abominations in the Bible is anything or anyone that is debased and extremely detestable to God. The Antichrist would be considered an abomination: who he is, his purpose and what he does. What he does is cause desolation, destruction of Gods people, and leaving Jerusalem desolate. Antiochus Eliphanes went into the Temple of God and sacrificed pigs. That was an abomination to God. He also killed Israelites leaving Jerusalem desolate.
It begs the question, why would God not think that a new Temple built by Jews be an abomination? He destroyed the Old Temple and before that, it was basically useless after Jesus was crucified.
The Christian is now the Temple and so what purpose would a new Temple serve especially when according to Rom. 11, when Jesus returns, He will save a remnant Jewish population and open their eyes? Imagine Jews sacrificing animals once again. It would be the ultimate insult, more than anything the Antichrist would do on it.