Actual, historical Nazis in fact! - as the lore goes. Apparently, Hitler was very into the esoteric and exploring all avenues for advantage. Through proxies and commanders, this included tapping the Vril society psychics for their channelled alien designs, recovering downed or crashed UAPs, anti-gravity research and possibly more insanely, making deals with a negative group of ETs for even more technology. As the war loomed in their favor they doubled down on their research into anomalous super craft, but as it lurched against them, they, says the lore, transferred all their research down to their Antarctic bases, dug into the ice and also linking up with natural geothermally-cut caverns deep beneath the icesheet.
Eventually, Admiral Byrd was dispatched to bring these space Nazis to heal and steal their tech, but was defeated, by said tech. The US then engineered operation Paperclip to get as much of this advanced German tech as possible. And a detente was reached with the Space Nazis in Antarctica, and possibly some deals, while they continued to develop their "high voltage electrogravitic and torsion field technology", all of which resulted in them eventually moving their operations to Mars, while the "Allies" (now well infiltrated by these Space Nazis in supreme positions of power thanks to Paperclip and their own wiles) took over most of the Antarctic underground bases, perhaps even procuring some of this advanced technology for themselves, before the Space Nazis became Mars Germans and broke away with it.
After some research: Yes, you're thinking of Battlezone (1998), a sci-fi game developed by Activision that includes a plot about a breakaway civilization. In this first-person shooter/real-time strategy hybrid, a covert space race unfolds between the U.S. and Soviet Union during the Cold War. The plot reveals that both superpowers discovered a mysterious bio-metal on the Moon and Mars, which led them to develop advanced technologies far beyond what is available on Earth. This triggers a secret battle for dominance in space, particularly on Mars and other celestial bodies.
The story builds up to the idea of hidden, advanced tech and a breakaway society-like structure, with the various factions vying for control of extraterrestrial resources and power. Mars serves as one of the major battlegrounds, and the breakaway civilization theme is interwoven into the covert war that's kept hidden from the general population of Earth.
Similar but not exact. So doesn't rise to the level of "must have lifted from the game". However, it's also similar to the plot of DOOM (grunt has to repel demon invasion from secret research outpost on mars), and Bioforge. And a whole bunch of other great 90s sci-fi stuff. Those were the days! Hahaha :)