What if the Galactica was a Galaxy Class Starship, imagine the same sort of characters in BSG as the crew of a Federation ship, starting with Bill Adama as captain, what would the other crew positions for significant characters be in the Star Trek World, and how would Kara Thrace and Lee Adama fit in? Would they be shuttle pilots or something else?
The Galaxy-class ships and the Battlestars are not easily comparable. The Galactica is a heavy battle cruiser, with fighters and an on-board Marine compliment. Galaxy-class ships are exploratory vessels with science equipment.
As I mentioned in your other thread, there are no real fighters in the Star Trek universe, as nearly all battles take place between large ships. For Lee and Kara to be shuttle pilots would probably be a step-down from what they're used to. So it'd be interesting to see a "Battlestar-class" ship in Star Trek, complete with Vipers and a launch bay.