Damn, this movie came out so long ago I nearly forgot about it. The exact opposite idea makes sense at least in terms of the them of the play/movie. White as INTP seems right to me. He certainly seemed far more a quiet, inactive philosopher than like a more active J, and Ti and Ne would be logical functions for the guy. Black's E F and J, I think... I'm torn on the S vs N, but I think I might have to say he's ESFJ too.