Avi, rabbis from literally every camp of orthodoxy forbade going on har habayis, including rabbi kook and his son rabbi tzvi yehudah kook, every single chief rabbis, sefardi and ashkenazi…the only exception was shlomo goren, and even he only told people privately and didn’t want to publicize it.
That’s besides the original issur from rabbonim in Yerushalayim in the times of rav shmuel salant, when Montefiore thought he was allowed to go while carried in a box, etc…