> Simply saying "I don't support genocide" will illicit a negative response from the pro Israel side of things and puts you in the "against" category

Sure. But declining to use the term "genocide" similarly illicits a negative response from a lot of the pro Palestinian side.

Single-issue advocates will tend to dislike you if you don't take their position on an issue. That doesn't mean anyone has to. (My pet war was Ukraine. I, similarly, took a dim view of anyone who described Russia's invasion as a defensive war. And I'd similarly argue with folks who thought what happens in Ukraine has nothing to do with America's security, though I hope I was more respectful than the status quo with Gaza.)