I would argue that fascism and communism inevitably lead to mass murder because they tend towards totalitarianism and the use of terror. This comes with the caveat that the terror need not necessarily target an ethnic minority.
This is getting away from the original point. If you associate with a nazi then yes I believe you are guilty by association. There is no coexisting with a belief that doesn't believe you have the right to exist in the first place. If you believe that communism is in the same lane then feel free to throw them in the bin as well.
So you hit it right there.
Neither fascism nor communism necessarily include mass murder.
Naziism does.