Let's not be coy here - the ultimate goal is to exactly make them cease to exist. And indeed, in any other case such action would be pointless - if they're dangerous hateful bigots that endanger lives, then what changes if they move to another provider? What has been achieved by that? It's like the police would say "we caught this terrible murderer and we forced him to change the store where he shops for groceries and to wear different brand of clothes. Yay us!" What's the point then? The only case where it makes any sense if when the ultimate goal - maybe not immediate, but eventual - is to drive it out of existence.

CF alone couldn't likely pull it off, but as multiple prior cases illustrated, they are not alone.