Its possible. Wouldn't mind seeing a team-up between Bats and Supes. Where Supes needs Batman's detective skills to help track down, maybe Intergang (whom is backed up by an alien/meta that requires Supes). They work together, if a bit reluctantly on Bats' part, but when evidence that they moved into Gotham, he agrees.
I've always made a distinction between the Batman in the solo stories in his own book and the Batman in the team-up stories in other books (WORLD'S FINEST COMICS, THE BRAVE AND THE BOLD, JUSTICE LEAGUE OF AMERICA et al). For the fun of seeing the character with other heroes, I just allow that he's going to see super-powered folks and even get super-powers himself.
But I never liked it that much when this bled over into his own world. In those Batman comics, I wanted to see a guy who can get beat up and has to struggle to figure out mysteries (that with enough clues even I could figure out).
When super-powered folks invade his world, he ends up becoming essentially a super-hero--with a super-brain, super-skills, super protocols that put him ahead of the game--he could never get beat by Johnny Witts now that he's a super-powered know-it-all who is steps ahead of any adversary or co-worker. He's essentially Superman, which is why Superman himself has a hard time finding work.
I disagree. Batman is proof that superpowers don't make you a hero, so why can't the same be said for villains? He can have a tough time fighting some of Black Mask's henchmen and an easy time fighting Martians. Powers don't make someone "better" or some new caliber of hero. It's always been Batman's intelligence that allows him to operate with his fellow Justice Leaguers, and him getting beat up by thugs or solving smaller mysteries doesn't diminish that at all.
I think Tower of Babel and the BatJerk/BatGod wave that followed portrayed Batman inaccurately, like he was basically unstoppable and better than everyone. That almost implies that there are two Bruce Waynes, one for street level crime and one for supervillains. But really it's all the same guy, because it's not about the powers he's up against, but the people themselves.
Um, yeah. That was my point. There have been several adaptations where Batman interacts with other superheroes. That was the entire premise of Brave and The Bold. Which is why integrating the Justice League into Reeves's film would be unnecessary; it wouldn't exactly be treading new ground.