This is one of the many times Morrison had batman do detective work. But it wasnt just Batman, he also made us detectives and took us for a ride. Who is Hurt, who is Oberon, who is behind Leviathan, how does Dick survive from being shot in the head (the story opened with that scene and then took it from the start, 3 days ago. You could see Hurt practicing his shots on watermelons), etc.
I don't see any fundamental difference in Bruce's characterization in the DCnU. Snyder even said in an interview, early on, that Batman's status quo at the start of his arc is an extrapolation of the events of Morrison's arc and Batman Inc in particular...having established his influence across the globe with Batman Inc, Bruce has returned home and is reinvesting time and resources in rebuilding Gotham.
If Bruce does feel different, its probably because he's lost a good 5-10 years because of the reboot. This is a younger Bruce Wayne who's been under the cowl for less than a decade, so there is a bit of that 'newbie' feel to him, especially in 'Tec # 1. However, broadly he's in the same place he was before the reboot, so the changes, if any, are very subtle.
I do agree that while Bruce's characterization hasn't been affected much, the Batman line as a whole feels schizophrenic because of this compressed timeline-on the one hand everyone's supposedly younger and less experienced; but on the other hand, most of their history from the previous continuity has carried forward. So, if Bruce was around 40 before the reboot, he's around 30 now and feels a LOT younger and less experienced, but he's supposedly been through everything his 40 year old self in the old continuity went through...
"John Stewart. LAME! ...this guy having a ring is like giving the batmobile to a blind old woman with her left leg in a cast."
"Pym biting Blobs head off seems like something that would have happened when i was ten years old and playing with action figures."
"i always assumed that [the blob] had the same powers as his 616 counterpart because, if simply being a huge fat guy was enough to be considered a mutant then there sure are a lot of mutants in 'real life'. "