I'm inclined to think that Skeleton really is the tinfoil hat. It would be a pretty clever strategy if he was an alien hoping to cement his immunity among us, or the gun nut hoping to trick an alien into abducting him - but this is Skeleton we're talking about. He isn't smart enough to think something like this up. Even if another alien was the one who conceived the plan, Skeleton wouldn't cooperate with it. You saw the ragequit wall of text he posted, and his final "fuck you" by outing Cheesus as the gun nut. That's him behaving in character. He's not a team player. He wouldn't put himself out there, possibly risking getting lynched, for the good of the team.
That being said, although I do believe that Skeleton is probably the tinfoil hat, I'm not so sure we should take his word for it that Cheesus is the gun nut. I believe that he has had two chances to ask his questions so far. I don't think it's logically possible to glean any solid information from just two rounds of the vague questioning.