You'll be out of the commuter terminal. UX operates gates 3 and 4 at the commuter terminal. When you arrive you'll need to exit the airport and catch the "Red Bus" to the commuter terminal and reclear security. Oh, and the commuter terminal TSA is a 100% all shoes off checkpoint.

45 minutes should be enough time. UX flights "board" 20 minutes before departure when they walk you out to the airplane.