There are two sides to Batman that I've always had trouble reconciling.
On one hand is a regular human, "street level" hero who regularly fights the mob & his gallery of mainly regular human (though often insane) villains. He often has to take time to figure out what his current target is up too, where they are etc... (ie - the detective side of him). Then on the other hand he is an intergalatic warrior who has fought and defeated New Gods & aliens with the power of gods. He's fought an army of Doomsdays (next to Superman and Wonder Woman).If I was in charge, to reconcile these two sides of the character make each believable I'd split the character into two different characters.
I'd position Bruce Wayne (in the JLA and Batman comics) as the Batman who is a member of the JLA, who will safe guard the planet and galaxy against villains like Darkseid and Amazo. In his own book borrow more from the James Bond elements of character, with villains like Ra's al Ghul (and the league of Assassins, to which I put Bane and Damian but that's another discussion), Hugo Strange & Vandal Savage with global plans. Maybe some of his rogues like Mr Freeze, Black Mask and Anarky could be modified to fit these stories as well. This would be the home of "Bat-God" - Bruce's Batman is a regular human one capable of superhuman feats though his mind and tech, as such the threats he deals with very big in scale.
However this would league Gotham in need a Batman, this is where Dick Grayson comes in. Rather then having Dick off playing Batman-lite he takes over guarding Gotham city as Batman (I'd put these stories in Detective comics). Dick Grayson would be a more street level Batman, one we'd see challenged by the detective elements of his job, one who can engage multiple mob enforcers (something a "normal" human can't do) but its a bit of challenge. Along with the mobs he would face villains like Two-Face, Penguin, Scarcrow and Joker. Dick would be the more "human", street level Batman protecting a single city.