100% People who think that disagreements about other people's right to exist are just matters of taste reveal how deeply hateful they are. This is not a matter for compromise.
They'd probably go something like, "but I don't have a problem with you existing (if you happen to be in their "in" group), it's just others who aren't you I don't want to exist, why do you have a problem with that??"
Same type of person who thinks they can completely fuck over one person without affecting their relationships with mutual friends, like everything is a set of one on one relationships that can't overlap.