I agree South Park could probably move elsewhere after their contract is over (goes through 2022). They were disallowed from showing a cartoon depiction of the muslim prophet Muhammad by Comedy Central in the past and did not leave, they did however make an episode poking fun at the censorship which included a cartoon Jesus deficating on a burning American flag.

They also have an older episode with Muhammad in it from before it was considered controversial to have such a thing (It's been censored since then)

https://en.wikipedia.org/wiki/Super_Best_Friends

I would be surprised if the team has the rights to continue elsewhere.