I'm completely lost on how to win this.  I have to pick up a Korx leader, and bring him to a certain spot.

I brought my ship to their homeworld, got a message from the Korx that "we may die, but perhaps our civilization will live on through our leaders" or something to that effect.

I have no idea if I actually have their leader on my ship, but when I go to the bottom of the map, at the exit point, nothing happens.  I tried on normal difficulty, and then tried on cakewalk.  I'm on cakewalk right now, flying all around the map, and still can't figure out what to do to trigger either the leader to get on my ship, or if that message meant he is on my ship, how to win even though I've gone to sector 1,3, next to the morale resource, just as the mission objective stated.

Please help, this is annoying.