Creating a cancel culture is exactly what the Nazis did to push their agenda.

I can be anti-Nazi and pro-free speech.

I think it's disingenuous to say "cancelling" is an invalid tactic and more than saying violence is an invalid tactic. Cancelling Nazis is as acceptable as shooting them by thousands was in the 1940s. I don't think it's at all unreasonable for us to be able to draw a line at what kind of speech we consider harmful. And saying the line is Nazism is an easy starting point.