Dwight's too laid back for it to be too much of a problem, at least as far as personality clash goes.
The real issue will be how Kobe and Nash co-exist. I mean, Nash's whole game is based on dominating the ball and running off multiple screens until he can make a play. Literally everything in Phoenix revolved around him when he was on the floor. There's no way Kobe is going to tolerate even a little of that.
Mike
agreed, i can also see nash being a very intelligent vet trying to talk to kobe about jacking shots, ball movement etc
i could just be hoping but i think they are going to have issues, i don't think howard will need THAT many shots but nash is very effective at dominating the ball and court vision, this would mean less 1 on 1 by kobe and more movement without the ball....

if i'm pau i'd ask to be traded to celtics for 2nd round draft pick
