The Nazis had a paramilitary group called the Brownshirts (Sturmabteilung) who would go around physically assaulting anyone saying things they didn't like. Popper's paradox of tolerance invoked the right of self defense against those like them who would with "fists or pistols" silence others. Stuff like this is why the first amendment protects the right to peaceably assemble and petition the government.
That's not how analogies work. If I say "it's like a sauna in here" I'm not saying "this room is literally like a sauna in every possible way, to the same degree that a sauna is like a sauna".
