The Ministry of Truth is not upon us. The government is not shutting down Alex Jones. He is not being hooded and whisked away to a secret prison. He is NOT being censored. His publishers have decided to stop publishing him. It's really not that big a deal. Publishers have every right to determine who, how, and when they publish anything. I think the people who are crying over censorship are stuck in hyperbole, probably because they consume hyperbolic media like Alex Jones.
And to answer your initial question; no. they will turn to other platforms with built in audiences that kowtow to their form of crazy. The niche just becomes more niche.