I seen the movie and quite frankly, there isn't that much 'character time'. I liked the movie, but it's hard to type them as most characters only have a scene or two at most for character development.
Spock actually seems more ISFJ to me, his control over his emotions as well as his P-ness is not his nature but he is trained to be like that. But beneath all that I think his natural type is ISFJ. He is probably the hardest character to type too though. :P
His logic is also quite narrowminded, not very Ti like for sure. But in a trained Te kinda way. *shrug*