The vast majority of Jews do support Israel having a right to exist.
> I’m told that’s antisemitism.
You seem to be conflating Jews supporting Israel having a right to exist with Jews supporting some particular actions taken by some Israeli's or Israeli government policies. One can support Israel having a right to exist while still being against specific government policies or specific actions taken by Israeli's.
Ethnic cleansing did happen, but it wasn't just in one direction. Apartheid is race based discrimination, Israel mostly just has citizenship based discrimination these days(like most countries). War is also not the same thing as genocide.
> Supporting its "right to exist" is to support all of those things.
Do you think the US has a "right to exist"? You can make an equally if not more plausible claim that the US could only exist via ethnic cleansing, apartheid and genocide due to what happened to the Native Americans.