Instead of blowing up the teleportation system, maybe we should try to capture the ship. Using their own teleportation is a possible means to access the Lighthouse (with weapons and shields - and hostages on the shields - some kind of infiltration seems like the most feasible method).
Of course, that's how Barrington and Control Freak invaded the Lighthouse in the first place, so they've most likely considered that sort of defense. On the other hand, we have Datalink powers and good Computers to hopefully break any kind of security they have on the system. Plus we are in a position to hopefully take out Control Freak. His absence should weaken their active their defenses, and the right mind reading/mind control/emotion control/drugs/whatever could give us any access codes we might need - Control Freak seems like he's been important enough so far that he'd have clearances (plus, as a machine controlling hacker guy, he'd probably give himself any level of access he wanted).
But we'd have to act quickly and quietly to even have a chance of pulling that off. And success is also extremely dangerous - taking over the station itself is probably more than we can do. But recovering some of the captured supers or sabotaging some systems and then fleeing might be a more feasible goal.
