Definitely. I think the main problem modern society (post-internet) is having, is that people have conflated the right to
speak with the right (or the recent privilege they've been granted) to
be heard, and assumed that if you have one you should automatically have the other. It's never been so.
[edit] since you updated... so, it's often been said that "speech" for nazis is a boot to the face, and that's all the words they need. And the truth is that if violence takes over it eradicates speech. A societal commitment to free speech is what allows the victims of threats and harassment and violence to speak out where they would otherwise be afraid to - especially if the intimidating environment is not just one company, but society as a whole. And this is why it's very dangerous, and can possibly breed more violence, to ever say that speech==violence [edit2: people reading "revolutionary books" in prison can be equated with violence by the prison guards]. Yes, incitement is beyond the pale, but in the example you just delineated it's very possible to separate incitement from opinion. Remove "someone should..." &c.
Now imagine you're born and everyone you're related to is accused of horrible crimes against humanity, controlling the media, stealing from honest people and drinking babies' blood, and your grandparents' families were murdered by people who said the same thing, and you hear people saying stuff like that every day which is clearly intended to incite people to, you know, kill you. And then imagine coming to the point where you know that preserving their right to say whatever they want about you, however disgusting and evil, is the only chance you have to preserve your own rights as an individual. If you can put yourself there, mazel tov, you're Jewish.
And it's natural to wonder whether all that free speech is a terrible idea, so, like all important things it's open to debate. But it's why my grandparents came to America, and they wouldn't like the idea of a law against nazi speech any more than I do.
Twitter, of course, is a whole other story. Private enterprise and should be held accountable for every word on their platform. They should banhammer anyone they feel like.