Plot hole: When Fitz-Hume and Millbarge disguise themselves as aliens in order to distract the mobile launcher crew, where exactly did they get the foil they are wearing? Except for the satellite dish Millbarge wears on his head, no parts of their code transmitter can have been used or the thing would be of no further use, and it is very unlikely that either of the two spy groups brought any of the foil along.

Factual error: When the CIA guys are 'invited' to the secret underground base via the highspeed drop platform - shouldn't they be flying off at the speed the platform is descending?

Revealing: When Millbarge changes the missile's programming at the last instant, the rocket changes course simply by rotating the shooting frame - and even if it could change course like that, the angle of ascension would be wider than indicated on the bunker base's computer screen.

Continuity: In the scene where Dan Aykroyd and Chevy Chase are first impersonating the two doctors and in the tent, the other female doctor (not the blond one) never leaves the tent with the rest of the doctors. She just disappears after she is introduced, and comes back when they are in the operating room tent.

Continuity: When Milbarge and Fitzhume are driving the ambulance and are being chased by the Afganis, one on horseback rides up to the driver's side and tries to smash the door window. First the window is down, then Milbarge rolls it all the way up, and just before it is shattered with the butt of the assault weapon, the window is about a 1/4 way down.

Factual error: Fitz-Hume and Millbarge shoot the rocket base crew with tranquilizer dart pistols. But the crew wear thick winter clothing, and air-powered darts should have trouble penetrating deep enough to deliver their load - and the serum would not take effect immediately for that matter (the guards drop as soon as they are hit).

Factual error: This is more of an understandable error: In the movie, the Russians still use the AK-47 or the AKM; at this time, the Soviets had the AK-74, a small caliber version of the original AK with plastic magazines and a large but effective muzzle break. At that time, AK-74s were hard to come by for the American movie industry, though.

Continuity: In the scene where the agent is in the closet, the wire to the briefcase is much longer than when he is outside the closet.