During the Ottoman Empire, up into the early 20th century, Arabs and Jews lived pretty much peacefully together in Palestine. Generally there were areas mostly Arab and others mostly Jewish - clanish but not hostile.
Interestingly, the mosques on the Temple Mount in Jerusalem were not held in any particular distinction. It is easy with a search to find pictures of the Dome of the Rock, looking a bit seedy with piles of rubbish around it; similar can be said of the Al Aqsa Mosque on the Temple Mount.
In other words, Muslims acknowledged their importance but paid little attention to their eminence. With the fall of the Ottoman Empire and the coming of the British mandate after WWI, Muslims began to fear a Jewish domination of Jerusalem and regenerated the religious significance in Islam of the Temple Mount site.
Interesting, Bob. Thanks!