However - my desk at work is an embarrassing disaster. My clothes are strewn about my house. I have piles of crap everywhere. I don't put things in folders unless I have a lot of room in my brain to consider that organizational option... otherwise they just lie in piles wherever my body leaves them. An NJ is not going to look like your idea of a "high functioning J" (what does that even mean?).
That said - I don't know what type Obama is; I would need to spend some time with him personally to feel confident of his type. I feel pretty sure that he's NF. For God's sake, he keeps talking about an empathy gap! I would go on to speculate that he probably has strong Fe--maybe ENFJ or INFJ. He seems very direct to me rather than... roundabout/ethereal? which makes me rule out INFP/ENFP.