Not sure none of them could compete, you have a few with pretty decent Greco-Roman wrestling backgrounds (Jack Swagger, Shelton Benjamin) who have the physique to compete, but maybe not the heart or fortitude. Not sure these things they do in Sports Entertainment 'don't hurt' either as I seem to recall Ken Shamrock picking up a lot of injuries in his WWE career, and if being hurled through objects (even ones weakened to break easily) by 300lbs men doesn't hurt then you're not made of human flesh and bone.
Some WWE guys could make the crossover, but just being a freak of nature (aka Big Show, The Great Khali) aren't likely to cut it.