Solidarity with ordinary Palestinians isn't "Jew hatred", though- it is simply solidarity with an oppressed people, a people who are essentially being collectively punished for the way European Christians historically treated Jews.
And it really shouldn't matter whether or not people say they support "Zionism" or Israel's supposed "right to exist"- a right no other country on the planet has ever demanded- because Israel's survival is guaranteed and because nobody outside of Israel can will the state out of existence by not supporting the already-concluded nationalist movement- a nationalist movement that is now permanently right-wing and anti-peace.
What is demanded by actually-existing Zionism now is not simply support for Israel's continued existence- an existence everyone effectively accepts whether or not they say they do- but unquestioning support and acceptance of everything the Israeli government and the IDF and the illegal West Bank settlers DO to Palestinians. No divergence from any part of "the line" is tolerated now- the only thing that counts as being "pro-Israel" is granting something like papal infallibility to Netanyahu.
Why is it so hard to accept that this asks too much of everyone? That it isn't reasonable to demand unquestioning support of any country or any nationalist movement anywhere on the planet, let alone Zionism?
Why the insistence on making it "either/or" or treating people that they are now effectively evil for raising any questions at all?
That's what is now demanded as proof that a person isn't antisemitic- nothing short of that is accepted at all.
It's emotional blackmail of a completely unjustifiable sort.