Late to the party, but I'm not sure that I agree that Starfleet Academy is just a military academy. The TNG episode Coming of Age shows a pretty rigorous written text for examination, implying that pretty much everyone who is in Starfleet are MENSA level. Not that military academies are full of dullards, mind you, but the Academy seems to simultaneously be the most prestigious university in the Federation (or, at least, in the Earth/human focused part) and be military.
Which is why I'm a bit nervous regarding the cast, TBH - or more honestly, the characters. The kids should mostly occupy a giant nerd to tryhard spectrum, given this is supposed to be the best and brightest. I'm worried that in an effort to make them more relatable, they'll (for lack of a better way to put it) dumb them down a bit.