Yeah...
I don't know what your kid will do. I personally read a lot of King Arthur books and, when some asshats at my school were going to rape a rabbit with a stick, wound up picking up a branch, standing in front of the rabbit, and roaring "thou shalt not pass." I was in 4th grade or something.
Things I also did: got in a lot of fights, though that may have been more from temperament than imitation.
Thus I have proven, via anecdote, that kids do pick up problem-solving from whatever media they're exposed to.
In any case, I don't see any direct problems with your movie choices, but it'd probably be a good idea to discuss non-confrontational problem solving at some point. I'd also stop showing him that stuff if he seems like he's having paranoia/depression/whatever problems of any sort. Kids can sometimes take things really badly in unsuspected ways. In particular, it's usually not very fun to have a hard introduction to death at a young age. I speak from a certain amount of experience.
There's a balance between knowledge and protective ignorance. Do whatever you honestly think is best, yadda yadda yadda. And talk to your wife, because if she's as awesome as you seem to think she is, she should have a certain amount of wisdom to impart. More than me, in any case.