Being removed from a specific platform and being inaccessible on the internet are two different things.

Alex Jones could purchase IP space, peer with other IXs and theoretically get his own news site to rival any existing ones. This should always be allowed.

Individual services run by private entities should always be allowed to remove users from the service. xkcd 1357 is a good match here.

edit: there could also be an argument that IXs could remove his peering, but i think that's a separate discussion. Ideally IXs should peer regardless of content.