He even says to Banner that all of this seemed familiar to him. The guy is at home in the role of an active soldier. He doesn't think in terms of how technologically advanced everything is, only that, those are the bad guys, and I have my orders. They don't solve his issues with modern times, he puts them aside to focus on the mission at hand. I imagine his sequel will deal with how they keep coming back to haunt him. Kind of like how Wolverine is able to put aside his lack of memory to focus on what he needs to do.