Jewish immigration to Palestine was not particularly great. Jewish people were not really heavily trying to move to the Middle East where people didn’t like them.
What happened is that Great Britain, following the defeat of the Ottoman Empire and the division of that region between itself and France, decided to make the Israel state, make it official through the League of Nations, and then encourage Jewish people to move there. It was the ultimate solution to the several century old “Jewish Question” that Europeans had. Of course people started moving to a territory controlled and sanctioned by none other but the British Empire.
By sending them to the Middle East, Europe could get rid of the Jews and Britian can get an ally. Win win for Europe. Jews, Palestinians, Arabs and everyone else be damned.
Of course, after hell obviously broke loose, Britain realized that their mandate was not working and they pulled out of a problem that they created.
…And nooowww we’re here.