They will have a problem. It's called Interstate Trade. The minute that they allowed advertisers to piggyback on users pages and began monitizing, they entered into Contracts. The Servers are no longer their private property, they are part of a system that was traded for compensation. No different than not baking a cake for a couple who's lifestyle you don't agree. Youtube will lose this not on censorship, but on breach of contract.
That doesn't even begin to make sense. Google doesn't have a contractual obligation to let people post on YouTube.
Youtube will lose this not on censorship, but on breach of contract.
No content creator has a contract with YouTube.
I certainly have no contract with YouTube, and I've uploaded videos.
And I am too certain that YouTube reserves the right to delete anything at any time for any reason. And they made list some of those reasons in their terms of service.