Jerusalem is the capital of Palestinian Arabs

[genuineoriginal]

Fact is God allowed Israel to be kicked out.

They were largely in disobedience to their covenant with Him when He allowed them to be kicked out;

Correct.

they were largely in disobedience against Him when they returned on their own terms and before He Himself restores them back there to worship HIM;

False, Israel did not return before God restored them to the land.
The only reason Israel is a nation is because God Himself returned His chosen people to the land that He gave to them and restored them as a nation.

 

[Wick Stick]

As far as the temple mount, and a new temple is concerned...

Stephen testified in Acts that God does not live in temples built by human hands. Peter says we are the stones of the new temple, and the priesthood thereof.

Wanting to build another temple is a fundamental misunderstanding of what God has done and is doing. Why do you want to bring back a temple and priesthood which God Himself has already judged, condemned, and destroyed? Build the temple again, and God will knock it down again.

Of course, that is what these "Christians" are actually excited about. They are hoping for Armageddon, and an end of the world. They don't want to actually worship at a new temple - they want to see it in flames. They don't want peace in Israel, they want a world war. They are nihilists, really, hoping for someone to put us all out of their misery.

Amos 5 seems appropriate:

Woe unto you that desire the day of the LORD! to what end is it for you? the day of the LORD is darkness, and not light. As if a man did flee from a lion, and a bear met him; or went into the house, and leaned his hand on the wall, and a serpent bit him. Shall not the day of the LORD be darkness, and not light? even very dark, and no brightness in it? Amos 5:18-20