Shlomo Goren, an IDF Chief Rabbi and Israeli Chief Rabbi, spent more time on the laws and layout on the Temple Mount than anyone for centuries.
Goren had been a build the Third Temple enthusiast until he got to study the Temple Mount close up immediately after the 67 war.
After he had done much close up study, in reaction to the activities of groups preparing for the Temple today by recreating the Temple garments and artifacts, Goren quoted the Book of Ecclesiastes: All is vanity and a striving after the wind.
No yeshiva bochurs get a say.
He is only one man and elderly(if he’s even still alive). The young “hotheads” may very well get their say like they tried to do in 2002 when they set up a ceremonial corner stone by the wailing wall.
The rebuilding of the temple itself isn’t touted by the Bible as a good thing since the temple sacrifices that get restarted are a rejection of the blood sacridice of Jesus Christ for the remission of the sins for all mankind. All references in the Bible to it are neutral. God does get displeased when the beast sets himself up in the temple and calls himself God.