The only side we really see of Starfleet is the military side, the characters are all thoroughly modern and feel like they could have come from any modern-day action movie, and there's no time to have a thoughful conversation about anything.
I kinda had this feeling a little bit too. I get that it's a summer blockbuster and that there's gonna be lots of action. But it almost felt a bit relentless. I wonder if they had made the movie longer if they could have made the pace less frenetic, or if they would have just crammed it with more stuff.