Or just have a lot of the Starfleet crew be killed by being pulled to the DQ and have them be replaced by various DQ aliens being held on the Caretaker's Array. That would give them a more immediate connection to the DQ and better ways of fleshing it out.
Oooooh, I like that idea. Just the concept of the federation portion of the crew being outnumbered and forced to live by and answer to a different set of rules and ideals on their way back home. Very interesting!