Well, I doubt any Jew or Christian can rise to most high public offices in many Muslim nations.
And I doubt that any Muslim or Christian can rise to most high public offices in Israel. (Yes, there are Arabs in the Kenest, where they can be safely out-voted. But how many Muslims or Christians have ever risen to head of Mossad, Shin Beth, the military, or similar office with real power?)
This applied to Jews in Roman Catholic territory. You continue to evade the point.