Kill Dr. Lucky. When you cycle through a deck, all failure cards either have been played or are in hand, and all you really need to do is keep track of how many failure points are left to decide how to attack Dr. Lucky.
The distribution of Failure cards is:
The real fun in the game is to explain, using colorful prose, what you're going to do to Dr. Lucky, and how those plans are foiled when failure cards are played. This makes the game more fun and creative.
As an aside, considering how simple the strategy is, and the game becomes a waiting game, maybe game play will go faster with the following variant.
Failure cards may be played by the attacking player to counter failure cards played by opponents. ie: Failure cards may be played to fail failure cards.