If this tech is really their only hope then we're taking them out by not helping them. We're destroying an entire civilization and billions of people without even taking a minute to hear them out. There's no option here that doesn't involve terrible loss of life one way or another.

Besides, they know how to find us now. They'll just track us down again and again and the ship isn't going to get less beat up, we're not going to get better odds. They'll wear us down. We're better off saving our energy right now and trying to do something from within. By your argument we'd be better off just destroying the ship and killing ourselves and I can't let you do that, not when there are children and innocent people on board who didn't sign up for this.