Superman feels emotion. Hell, he falls in love and other weak human-like shit.
Now Hulk ... well, he might minimally recognize someone he doesn't necessarily want to smash, but other than this, he doesn't feel much in the way of emotion. He simply operates on rage, anger and a need to destroy.
On the rage point alone, Superman would be quivering confronted with a super-pissed Hulk. Oh, and to those who suppose Sups could carry the big lug skyward to space or into a deep ocean, think again: Hulk wouldn't allow ANYONE to carry him like a bitch anywhere. The fight would have to take place wherever Hulk decides is best for him. And this, dear friends, is on dry land.
Having said all this, I don't believe either one could ever truly "win" a battle squaring off against each other. Just like the mini movie presented, the winning aspect would go back and forth endlessly.
Chances are, Superman being Superman, he'd come to realize this and simply bail. Sups doesn't nececssarily enjoy fighting, but Hulk EXISTS to rage and destroy. He'd be more than happy to keep going and keep going. For him, such a situation is like the average person having a full body massage, and with drinks included.