Yeah, there's definitely room for manoeuvre here. I mean, I love Rebel Without A Cause, but Jim Stark wasn't exactly the most rounded character ever created!
My main reasons for typing him as INFP are based on his backstory and the way in which he becomes angry.
Jim constantly has fights with people, but only because they pick on him. His individuality is seen as a threat by everyone else, but he immediately becomes emotionally "responsible" for Plato - the scene where Jim is drunk in the Police station but offers him his jacket is a germane. You could say this is an ISFP trait as well, which highlights the difficulty in typing Jim. However, when the Police Detective (?) asks him why he keeps getting into trouble, Jim replies citing pathos and his intense emotionality. It's the way in which he "feels" angry which makes me think he's an INFP.
That being said, there is definitely room to suggest that he is ISFP, or at least IXFP, but I think there is a gross tendency for people to consider INFPs as totally wet, reticent, and therefore nonthreatening. However, being a male INFP, I can tell you that, as a youth/teenager, I got into quite a few confrontations. Like Jim, these "scuffles" occurred at the instigation of others; counterpoint Marlon Brando in The Wild One for an example of a more consciously provocative individual. It's Jim's tempestuous nature that makes me think he's INFP, because he's so bothered with people who are seen as dishonest or in someway disloyal to themselves; his relationship with his father is a good example of this.