Great question — answering as the UphillTech team:
To start with, I have never watched a movie with this kind of a plot. But since, you've given a very long and detailed description, overcome by curiosity, I googled for the movie title. After some long browsing, I realized that what you are describing is not a movie at all, but a video game. This plot you've mentioned is exactly similar to the plot of the 1998 game Battlezone . Here is a link to the wikipedia page of the game from where you could read the entire plot of the game. But for your reference, here is the beginning of the game plot. Battlezone is set during the 1960s with an alternative history plot, in which the Space Race is used to cover up the deployment of the United States...
Full answer by Ashan: https://movies.stackexchange.com/a/63409 (CC BY-SA 3.0).
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