Hmm... tricky one.... If it was, like, their ships fights off an attacking vessel and saves the vessel I'm on then Picard. If it was literally first-hand, like, beam on and get the survivors off then Sisko.
More Multiple choice mayhem:
After being saved from this attacking vessel, would you rather have your injuries treated by McCoy, Crusher, Bashir or Phlox? (Say it's a broken rib and concussion or something of that severity)