You do know that the Saudis and Israel are somewhat aligned right? Especially since both see Iran as the big danger in the region right now?
Non-Muslims, including Jews can go to the Kingdom, no problem. Non-Muslims aren’t allowed in Mecca and Medina, but that has nothing to do with the rest of the country. Native non-conforming Muslims and Shias have more problems in the country than do people, especially diplomats, visiting from the West.