Craig Willmore, the name of the protagonist in the game, is actually a name used in the episode for one of the boys the two female villains find marginally hot. Also, just like in the episode, the same movie clip from Keystone Hotel (1935) featuring the The Keystone Cops plays on every TV in the game.
The name of the high school, Grover Cleveland Alexander High School, refers to a question David Duchovny got wrong during his appearance on a celebrity edition of Jeopardy.