I’d add on that Muslims and Jews got along especially well historically. There wasn’t much competition between the two for anything, and they agreed on dietary laws and similar. The Nakba more-or-less set the entire problem in motion there.
Islam was the more progressive religion for a long time, or at least you can argue it was. Islamophobia is mostly a separate issue, but it’s worth mentioning. Religions gets used to justify whatever the influential were planning to do anyway, and all three Abrahamic religions have questionable stuff in their holy books.