The British spent a lot of effort to make sure the above happened. Indeed the whole of British colonial policy was directed at starting the Arab-Israeli conflict. They found plenty of fools, who “fell for it”. They tried the same trick in both Ireland and the Raj (India, which included Pakistan and Bangladesh). It worked perfectly at starting a war, but failed miserably as the locals didn’t come begging Britain to stay.
If the zionists and the Arab nationalists weren’t fools, the result would have been a single Arab state of all Arabs east of Suez (now made up of Israel, Lebanon, Jordan, Syria, Iraq and the various countries of the Arabian peninsular), probably as a constitutional monarchy under the family that now leads Jordan, with a Jewish population about twice that of Israel (probably fewer European socialist immigrants, but they would have picked up almost all non-secular refugees from what would have been the German-led expulsion of European Jews).