being a Zionist can go well beyond 'Israel's right to be Israel". as always one person's, or group's, rights stop where another's start. Zionism doesn't really follow that ideology.
there are a lot of different groups of Zionist, and you are probably choosing the most friendly version out there.
there are multiple sects of Zionist who believe in the military expansion of lands held by Jews. some who believe in forced conversion, or various methods of enforcing a Jewish majority some of which get down right into eugenics. heck there are some Zionists who don't recognize Jews outside of Israel as real Jews, and/or think they have mental problems.
even in the more PC versions you have examples that go far beyond "Israel's right to be Israel". There is the desire for labor, work, and production to be 100% Jewish, banning anything outside of work by Jews or at least according to their religious laws. There is the forced displacement practice. denying non-Jews voting rights or real representation.