We loved your card game! As avid Star Trek fans, we couldn't help ourselves and had to quote Voyager several times during our playthrough.
Two small criticisms regarding the game in general: 1. it was unclear to us if you would be able to do one or many things per turn. If you can only do one thing, leaving the sector would always happen with five dice, no? 2. Assuming multiple actions per turn, if a player is ahead they can actively try and kill the rest of the group. Maybe leaving the sector should come at a significant cost (at least three dice?) if multiple actions per turn are permitted.
All in all though, we really enjoyed playing. I even got an action shot: