Movie Tony is ENTP. I don't think he's douchey at all, but instead someone who grew up with an emotionally distant father and more money than he knew what to do with. Tony was able to coast by in life thanks to his fortune, his good looks, and his charm. It wasn't until he was attacked with his own weapons in Afghanistan that he had to confront the reality of his life's work.
In the first movie, when he's trapped in the cave with his heart connected to a car battery, Tony is clearly depressed and says, "I'm going to die in a week anyway." Yinsen replies, "Well, then this is the most important week of your life." As soon as he hears this, Tony seems to revive, as though all he needed was this perspective flip and suddenly he's in genius mode again. Instead of wallowing in self-pity and misery, he escapes and sets a new goal for himself: to take his weapons off the market and protect innocent people from violence.
In the sequel, as it becomes increasingly obvious that the palladium is failing and he's dying, he becomes more and more thrill-seeking. Even at his darkest, he's still the wise-cracking ENTP, the sort of guy who could drunkenly order his DJ to lay down "some phat beats that I can kick my buddy's ass to".
Ivan Vanko also fascinated me; Rourke did a lot with his limited part. I suspect he's an INTP. The only things in his life he seems to care about are his father and his parrots. As Tony Stark points out, with his intellect and engineering skills, he could've become a wealthy man, but none of it seems to matter to Vanko. He's got an impish, INTPish sense of humor, such as when he talks in Russian to Justin Hammer just to piss him off, or turns Hammer's words back around on him: "Hey dude, don't get too attached to things."
But I think what sells INTP for him to me is the scene where Hammer storms into his room, backed up by two huge bodyguards, and snatches Vanko's shoes and stuffs the parrot in a bag. Vanko is so stoic, in contrast to the way Hammer is flailing around and yelling like a little boy. I think he and Tony make a good matchup because of how similar and yet how fundamentally different they are -- the ENTP versus the INTP.
And yes, I've read the comic book Iron Man, and that Tony is more ENTJ.