Well, I'm far from a fighter pilot, but in my experience so far, Iceman is the winner.
I'm very much the instinctual pilot myself. So far, at least in sims, IPs haven't been able to throw anything at me I can't recover from, and I can certainly get the plane where I want it, and make it look good. However, stack me up against another guy I'm competing with, and while he doesn't have the instinctive reactions, and he may be a little slower in his reactions, with enough practice, he gets the plane there just as I do, but he burns less fuel, stays "on the numbers" much better, and is a little more adept at learning the Navy's way of flying (And so he's scoring higher!)
Instinct is GREAT in an airplane, and really helps early on, but at the end of the day, the Navy KNOWS what it's teaching you. He who can follow their ways best will probably be more successful in the long run. Therefore, Iceman wins.