On average the cards in the Quorum deck are too weak.
It strengthens the Human side a lot if the president instead uses their actions to order other human characters. And never, ever moves to Colonial One.
A couple of players in our group adopted a strategy of never using those cards. The only time the humans have lost with that strategy was a couple of times when the Admiral was an undertected Psilon at New Caprica. And once when the other players voted in a new president who did proceed to waste time drawing Quorum cards.