1A doesn't have anything to do with it -- either free speech is a concept worth protecting, or it isn't. John Stuart Mill wrote at some length about it, and in particular about what happens when the population at large decides they don't like your speech.
Let's take this to its logical end -- let's say Joe wants to host a legal but repugnant site. Cloudflare doesn't want to protect it, ok; EasyDNS won't host it, sure; now let's say Comcast gets involved. They don't think Joe should have internet because he's espousing ideas they don't like, so they cut him off. Same with his mobile provider. Hell, what's to stop the local grocery store from banning him? Point being, Joe could _legally_ be forcibly removed from society for having opinions some people don't like.