NO.
Star Trek is about the main characters interacting and solving problems. This means the characters have to do stuff, which requires some departure from the actual reality of how military officers do things.
A realistic portrayal of Star Trek officers with enlisted Marines on board would be Kirk ordering the MACO's to explore the strange new world, during which time he's signing backlogged Starfleet paperwork in his ready room . Something tells me that a movie of Kirk signing papers, McCoy issuing prescriptions, and random Marines exploring planets and meeting people wouldn't be much fun to watch.
Star Trek is about the main characters interacting and solving problems. This means the characters have to do stuff, which requires some departure from the actual reality of how military officers do things.
A realistic portrayal of Star Trek officers with enlisted Marines on board would be Kirk ordering the MACO's to explore the strange new world, during which time he's signing backlogged Starfleet paperwork in his ready room . Something tells me that a movie of Kirk signing papers, McCoy issuing prescriptions, and random Marines exploring planets and meeting people wouldn't be much fun to watch.