After President Calderon gives Cheryl a long explanation about the approval of the 22nd Amendment to the US Constitution regarding Presidential term limits, Cheryl asks him, "Who are you, Dave Frishberg?" This is a reference to the fact that David Frishberg wrote the music and lyrics for I'm Just a Bill (1976).
After shooting Cyril, Sterling tells Pam, who is kneeling next to Cyril, "Let's hear some Bee Gees." This is a reference not only to the song "Stayin' Alive", but also to the song's widespread use in CPR training, because the beat is the right speed in which to do chest compressions.
Malory Archer calls a scared army officer 'Colonel Panic'. This is a Linux/Unix pun on the expression 'kernel panic', an action taken by an operating system upon detecting an internal fatal error from which it cannot safely recover.
Pam calling Cyril "Mike Du-Cockless" while he is in the tank is a reference to Michael Dukakis, the 1988 Democratic nominee for President, who critics say looked about as stupid driving a tank in a much-maligned campaign appearance.
The orange car seen behind Cyril in the garage is the 1970 Lancia Stratos HF Zero Concept, designed by the Italian company Bertone.