Parler has sued Amazon for pulling the plug on its website.
I (am not a lawyer) doubt they have a case. The Constitution’s freedom of speech clause guarantees neither an audience nor a platform.
Also, hosting providers have things called “Terms of Service.” I know my hosting provider does. I’ve never read them through, because I try to behave myself in public, but, once when I was on the phone with tech support, the support person said to me, “Nothing I see on your site violates our terms of service.”
It will be fun to watch this play out.
Above the Law has more.
I think it very likely that, after the storming of the Capitol, the right-wing nutbags have worn out their welcome with the larger polity, at least for a while.
But they won’t give up.
They are always rising again.