Saudi Arabia doesn't allow synagogues or churches or temples because they enforce a strict interpretation of Islam that bans public worship of other religions. I believe you already knew this. Still, that's not a ban on Jewish people.
Edit: I don't support Saudi Arabia's policies on religion or any religion at all. It's just obvious what you're trying to do.
Israel persecutes the Arab population. They even persecute Ethiopian Jews.
Law defines the country as Jewish homeland, further marginalising 1.8 million Palestinian citizens of Israel.
www.aljazeera.com