I don't know about that but as a Muslim I see nothing wrong with people of other religions praying in Muslim holy sites including Mecca and Medina or whereever else they please. Besides, i this case, the Temple Mount was holy for Judaism way before ISlam even existed so nobody should have the right to deny the Jews their right to pray there.
I guess I should have said "..in typical Islamic fashion - as Islam is interpreted by Palestinian Arabs for their political goals". As a historian, and someone who has studied the region for decades, I've come to the conclusion that the only time Jerusalem comes to the forefront in Islam, is when Arab politics want it at the forefront. There is, IMO, strong evidence that the idea that Al-Masujidi-al-Aqtza is the Aska/Omar Mosque had more to do with political and military desires, than anything mandated by theology.