I saw this episode and the part 1 as well. The kilt is worn in both, and is clearly on backwards. It is possible that he turned it that way to prevent unpleasantly hot rivets. I seem to recall reading that there was a brass rivet in the original Levi's holding the two legs together at the crotch. This rivet was later removed due to complaints that it would get too hot if sitting next to a campfire. Since he is also wearing a sporran with swinging tassels I suspect the reason is simply user error, lots of stress being on TV!