Deliberate mistake: When the security forces arrive at the hangar to report seeing Gant at security gate 3, they are driving an American Jeep.

Firefox (1982)
1 deliberate mistake - chronological order
Directed by: Clint Eastwood
Starring: Clint Eastwood, Freddie Jones, David Huffman, Warren Clarke
Factual error: Towards the end of the movie, when Clint Eastwood is flying away from Russia, the Russian cruiser is really either an American Leahy or Belknap class cruiser.
Maj. Gant: Aren't you gonna threaten me or something?
First Secretary: I will do so, if that is what you wish. But first I will merely ask you to return what does not belong to you.
Trivia: The movie Firefox is a Soviet built radar-invisible aircraft. In reality, the American F-117 Nighthawk stealth fighter was made possible by the work of a Russian physicist, Dr. Pyotr Ufimtsev. (Soviet designers thought his theories worthless!).
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Chosen answer: There was just an explosion in the hangar and in the resulting confusion none of them were sure why it was moving. To get it away from the fire is not unreasonable. Also, the Soviet military is not big on showing initiative. Unless told to disable it, none of the guards would risk severe punishment for damaging a valuable aircraft.
Grumpy Scot