Of course, you shouldn't expect The Gipper to appear, but it's a fair wager that the Feds will ask Superman to detain Batman, then the Caped Crusader will use his lucre to build a Kryptonite pervert suit. (That, or this new Batman is a wizard. Everybody forgets that Superman's other weakness is magic.)
"Skeptical audience members will by overjoyed to hear that Batman uses an ancient wand to turn Superman into a common centaur. This transformation occurs in the opening credits and lasts the duration of the film, thus allowing disbelief to be properly suspended." -Rotten Tomatoes, 2015
A lot of folks are jazzed that Snyder's tapping TDKR for this next movie. ("It's iconic!" "It's whoop-ass!") Then again, a bunch of people aren't. ("It's an overly cynical relic of its times!" "Snyder will strip the comic of its philosophical underpinnings, just like he did with Watchmen!") But what nobody's mentioning is that TDKR is basically the only famous comic book starring both Batman and Superman a layperson might be able to name off the top of their head.
You see, most modern superhero films can trace their narrative DNA back to specific comic book story arcs. For example, Man of Steel drew from such well-received comics as All-Star Superman and Superman: Birthright, whereas The Dark Knight Rises cherry-picked plot points from three major Batman stories (including the "Geezer Bruce Wayne" motif from Returns).
"Hey guys, I'm back! And I'm gonna to fuck up Superman with my newfound knowledge of weird aperitifs!"
But big-name comic books starring just Superman and Batman? That's trickier. Even semi-famous stories that showcase the interactions between Bats and Supes (such as "For The Man Who Has Everything" or "Public Enemies") tend to prominently feature other DC Comics heroes in large roles. Don't forget, superhero franchises usually dole out new characters parsimoniously to avoid overcrowding the screen. Before 2012, did the public at large know who Bane was? Nope, he was just some no-name A-hole who was eclipsed by Austrian Mr. Freeze.