One thing about DC is that I just don't think Superman and Batman are ever really fit to be in the same world together. They're so vastly different, that even in comics I feel they're too separated and odd to have in the same storyline.
Marvel's done a good job because they've clearly established that heros like Thor, Hulk, and even Scarlet Witch are vastly more powerful than Black Widow, Hawkeye, and Spider-Man. Iron Man/Captain America are somewhere in the middle, but likely have no chance if they were to try and go one-on-one with them, and if they did, it would be out of pure luck. DC seems to try to put Superman/Batman on the same level with each other.