Not exactly. I actually like the idea of Nolan's Batman being Ground Zero for the Justice League ... with him starting in a time before superheroes existed, or at least were known. First, I think it gives Batman more weight when he's not just a darker, less powerful Superman copycat. He was the original. He took up a cause that needed to be taken up ... because he was the only one to do it. Superman wasn't around yet. And, he's earned his stripes before he's completely outgunned by the more super of the heroes, so as not to be overshadowed.
Second ... it leaves the relative realism of Nolan's Batman Universe untouched while allowing for the more fantastical elements to slowly come later. Starting with Superman in MOS.
Third ... I think it actually adds to Batman's character, and to conflict in the League. Wayne earned it by the sweat of his brow, and has the bruises to show it. He's the gritty old-timer that's been around from before these flashy superheroes came along. He's suspicious of their powers, and he's gotten along just fine without them for quite a while. There's more depth there with that set-up. Adding the fantastical elements to Nolan's universe, and watching Nolan's Wayne cope, makes for an intriguing development ... rather than just another fantastical element in an already fantastical universe.
SnakeDoc