They would still be professionals in a work oriented hierarchical environment. I can tell you how they wouldn't act. I haven't seen Beyond, but the way Kirk, Uhura, Spock, McCoy, Scottie, and others act in 09 and Into Darkness would never happen in the military. It's not even exaggerated. It's outlandish. The Voyager crew would behave similarly to the TNG crew, or any of the others. I've heard people say, including Jammer I believe, that the quarreling between Reed and Major what's his face was juvenile, and not beweevable. These people aren't in Junior High, they're running a starship.