I have to side with Joe Rogan. His spinning back kicks are some of the best I have ever seen, and the guy doesn't even fight! He always is a black belt in jiu jitsu and trains with Eddie Bravo on a daily basis. Hands down would Joe Rogan wipe the floor with Wesley Snipes.
I would also bet on Joe Rogan because his style is more technical than of Wesley. Wesley Snipes practices Kung Fu and Shotokan Karate including Hapkido and Capoiera but it's going to Joe's Jiu Jitsu will be the difference.
Joe Rogan is with 10th planet jiu jitsu and has been for years. Joe Rogan has more tools at his belt to defeat Wesley Snipes. I know for a fact that Joe stays consistent with his training. The same cannot be said for Wesley. Joe is also a black belt in Tae Kwon Do. I just can't see Wesley doing much to Joe especially if it went to the ground.
I would definitely have to go with Joe Rogan. While Wesley Snipes does have a background in karate, he uses it mostly for fight choreography in his movies, which is not representative of actual MMA fighting. Rogan, on the other hand, does Tae kwon do and also has a solid knowledge of jiu-jitsu. I believe it is Rogan's grappling and submissions that will win him the fight.