Kobe would survive and would be good enough to reach the Finals only to lose against MJ. IMHO, Kobe would be the Clyde Drexler of the 80s. If Mark Price was successful back in the 80s, Paul would hold his own.
Wade on the other hand is a different case. I'm not sure how he'll be able to handle all the hand-checking back in the 80s. James would dominate and there's nobody during that time that would be able to handle him when he drives to the lane. His spotty outside shooting would kill him though.