The fighting is fine. Maybe take the camera out a little bit further, and make the moves somewhat more clear for the audience to see.
The best part about Nolan's fight scenes, which I think gets overlooked and unappreciated by many fanboys, is that they feel dangerous. You get the sense that people are really getting hurt, and it's not pretty. You see that Batman is a no-nonsense ass kicker. The scenes don't shift the focus of the movie away from the danger and suspense and onto some show-off acrobatics.
I'm not saying Nolan's fights can't be improved upon, but I vastly prefer them to the alternative on the other end of the spectrum: soft, overly slow-mo, balletic "fights" that look more like elaborate dances than actual combat. That crap went out after the Matrix sequels bombed, but has started to reappear in things like Zach Snyder's films.
I hate that style. The second such a movie goes into slow-mo (which will last for the next 10 seconds to a minute), you instantly lose any sense of danger for the hero. He's too busy looking kewl. Slow-mo is for highlighting key moments, not entire fights like in 300. The best fight in Watchmen was when Ozymandias fought Rorschach and Nite Owl near the end. That was fast and looked like an actual fight. Not like the the earlier prison riot, where Dan and Laurie toyed with helpless thugs in slow-mo for a full minute straight.
I agree with ChickenScratch. Look at Bourne and Taken (I'd also like to add Casino Royale) for inspiration, not the dime-a-dozen wire-fu dance movies.
No movie fight is TRULY realistic, even the ones in Nolan's Batman or the examples I listed above. However there are different levels of realism. Go for verisimilitude in fight scenes, the way everything else in Nolan's Batman movies was done.