We wouldn't know the outcome until they finished debating, would we?
(BTW, I'm assumed Oriely means Bill O'Reilly. Correct me if I'm wrong)
It could get ugly though. Noam Chomsky is a skinny, soft-spoken 80 year old. Bill O'Reilly is a 6'5 bully who tries to win debates through overwhelming force. I have a hunch that it might end in murder.
Unless that happens, though, I wouldn't expect it to burn up the TV ratings. Political debates featuring polar opposites rarely work well unless both speakers are funny and popular, because otherwise everybody thinks *their guy* won. Guys like Chomsky and O'Reilly really don't even speak the same language. They view the world so differently that they could use the exact same evidence to support two opposite conclusions. The result would be an hour of talking, a bored audience and no changed opinions.