The region will probably gain independence shortly after WWII, and I suspect it'll carry a government that somewhat resembles the trainwreck that is Lebanon, with quota systems and particular offices reserved for members of this or that community - I suspect Arabs, Ashkenazi Jews, and Sephardi/Mizrahi Jews. The Bedouin might also get guaranteed representation, but I strongly doubt it. Where it goes from there depends on the precise demographic breakdown and how it evolves.