As per known world history and what people believe.
Baitul Muqaddus was made by King Prophet David(Daud, as,) and completed by King Prophet Solemn( Suleman as.) along a line of Prophets for hundred of years upto Prophet Jesus(Issa, as). All were jews and it was their property in their territory.
Islam came late in year 610. The only claim muslim have is that our Prophet (s) started his dream journey of night(mairaj,) from there.
Even he was praying towards BAit Muqdas till Kaaba was allowed as direction for prayers.
It was occupied for Muslim by Caliph Omar(r) in year 640.
So Muslim claim is very weak. As a property it will remain with builders and residents whatever Muslim claim, specially very weak Muslim nations in power and unity.
Palestinians were jews any way some centuries back, now they stones in their hands against tanks and F18's.
Is there any one in world who really believe that Jersusalm and Baitulmaqus will be in control of muslim ever. It will remain a wish and a cause of destroying generations of palestinians.
Not one muslim country's head of state incl Saudi monarch will go against US or Israel. Have your bets.