I think one could easily use a CSG (Carrier Strike Group) as a guideline:
A carrier strike group (CSG) is an operational formation of the United States Navy. It is composed of roughly 7,500 personnel, an aircraft carrier, at least one cruiser, a destroyer squadron of at least two destroyers and/or frigates, and a carrier air wing of 65 to 70 aircraft. A carrier strike group also, on occasion, includes submarines, attached logistics ships and a supply ship.
I can think of lots of gripes I had with the series, but they pretty much all involved Kara, so we should be good. The only change I would suggest is that most electronic combat be done by the ECO and not the pilot. I can see why they gave the raptor pilots so many responsibilities, since a main character was a raptor pilot, but it doesn't make much sense.
System RP is not that tough, especially when it is a smaller, custom system like the one I have in mind. I have used this system before, and walked a lot of freeform RPers through system play. You'll find that rolling dice isn't required that often, but that just having a character sheet prevents the tendency for players to suddenly decide their char is good at something, ESPECIALLY in this setting. Also, it can really help to flesh out a character.
I think that while some details need to be ironed out, this is looking to be a somewhat realistic tone, which I definitely like to see.