I think when it comes to free-speech, as opposed to things like taxation or healthcare, there's not really a clear "liberal" contingent, just the amorphous civil-liberties contingent. Includes many libertarians, liberals, and anyone else who opposes the state exercising anything even remotely approaching censorship, in any circumstance, whether it's against "nazis" or "rioters" or "terrorists" or whomever else the emergency of the day is.
Americans are somewhat unique among English speaking people for not distinguishing between liberalism and leftism. Once you make that distinction, the "amorphous civil-liberties contingent" is liberal by definition.
The culture of internet outrage that involves upvoting these things to the roof does get in the way of understanding and addressing the issue in a reasonable fashion. I don't think it matters especially what specific worldview someone has when they're in that mindset.
I think when it comes to free-speech, as opposed to things like taxation or healthcare, there's not really a clear "liberal" contingent, just the amorphous civil-liberties contingent. Includes many libertarians, liberals, and anyone else who opposes the state exercising anything even remotely approaching censorship, in any circumstance, whether it's against "nazis" or "rioters" or "terrorists" or whomever else the emergency of the day is.