"three-dimensional warfare (not even thinking about the wormhole at this point) in space?"
... well... if you take Star Trek seriously, for some mysterious reason, space battle in their universe isn't actually 3 dimensional. At best it's 2.5, taking place on a two-dimensional plane with a few hundred meters of play in the third. Also, everything takes place at what would, even with modern military hardware, be considered point-blank range. Not only is Star Trek combat modeled on naval warfare, it's modeled on 17th century naval warfare.
To your next paragraph, I would point out that we are following the elite of the elite. Sisko is the officer, out of all the presumably billions-if-not-trillions of people in the Federation, who is considered most suitable to be in charge of an incredibly strategic station. Odds are he's not a typical sample of humanity, nor any other officers there. I suspect our best officers today similarly do not "waste" much time either.
Otherwise... I'm a big fan of taking canon "seriously" and trying to work out how it could actually be working. I particularly enjoy playing this game with Futurama, something you're not "supposed" to do that with. But having spent some time on Star Trek, I find it's really, really hard to square the stated philosophy of the Federation with what seems to be the reality of the Federation. It just doesn't make sense. Even such old chestnuts like "Why did the Enterprise actually carry families?" are old chestnuts precisely because it really, honestly doesn't make sense. Starships are blowing up all the time in Star Trek, usually not even due to hostile action (or at least, conventional hostile military action). And I just find that in the end, there's no practical way to actually put together the pieces into anything like a coherent whole.
Almost as if Star Trek was written over the course of decades by dozens upon dozens of writers mostly focused on how the current episode will turn out.