Temple Mount share karnay mein koi harj nahi, it would be great actually to see Muslims and Jews both worshipping, but the problem is that even the Israeli Army's own rabbi has said it is a religious obligation for Jews to rebuild the Temple over the al-Aqsa site.
Jews are forbidden by religion to enter the area until the Temple is built. See the problem? They have to raze al-Aqsa to worship there.
So, how can you share it when they want to demolish what you have? Israel understands the threat and thus doesn't allow any Jews to come to worship (only tourists).
These religious jews in Israel are no worse than the Taliban. Why don't think they about somehow incorporating the two rather than going with one or the other? Multi-purpose rooms and spaces are the in-thing nowadays anyway