Did I miss them praising John Williams Superman score? If not, shame on you. It's so good, I feel that some of the missteps of the more recent Superman films wouldn't be judged quite as harshly with that score backing them.
That being said, Elfman's score is just as iconic, also one of the all time greats. I realize we're not just judging the scores here.
I will say that I don't feel like Batman has a moment like Clark saving Lois in the helicopter or even that primal scream when she dies, but to sum it up, a hero is only as good as the villain, and Jack's Joker is aces (Sorry), so that's why I voted for Batman.