"Roll dice and kick ass!"
Never underestimate the power of a card such as "HAMAS Elected" that lets the US choose 1 card to be discarded, or you can leave a bad card until the end, and play a card that has the effect of discarding a random card from your hand.
Absolutely! I had a hand like that last night. Unfortunately I was playing my second game so that tactic passed me by until I'd ducked the enforced discard- thinking I was clever, and then got whacked by the bad card I should've discarded.