In theory, the dialogues and negotiations between Israel and Palestine should occur on the platform of UN. But why has it been the U.S. which provides that sort of platform instead?

The No. 1 country on the Earth possesses inherited interests in allying with Israel, mainly for two reasons:
1. Many influential Jewish people and Zionists live and work in the U.S.
2. Christianity, the de facto religion of the U.S., has a very closely knitted relationship with Judaism, which is the religion of Israel.

If Palestine were much more powerful, which platform of dialogues would it choose? The U.S., UN, or an influential Arab country?