No, no, a thousand times no.
The dialog is ridiculously homogeneous, and all of the characters have been stripped away to a single base idea. Spidey tells jokes; Wolverine is gruff; Luke Cage loves his wife. They aren't characters, they're caricatures.
But even putting that aside, nothing about his team feels like The Avengers. The Avengers are, traditionally, a team full of veritable powerhouses, tasked to deal with the threats that the heroes can't deal with on their own. They fight cosmic-level threats. Under Bendis, it's a collective of street-level heroes with a powerhouse or two thrown in, albeit usually in a very restricted capacity as to not be that much more powerful than the rest of the team. (ie. Dr. Strange is a useless magician; The Void rears his head every time Sentry is about to do something useful) He keeps the tone of the book dark and edgy because, for so many writers nowadays, this seems to be equated with realism, which is apparently good. As far as I'm concerned, that's not the Avengers. Give me Dan Slott's Mighty Avengers any day of the week over New Avengers or Dark Avengers. The second one makes me a bit sad, really, because Ellis' Thunderbolts run is among my favorite superhero runs ever, and the characters are just being horribly mistreated.