Hi, I’ve found out that there’s a Larp in Canada that’s a little like what you want to do with your idea. It’s the same basic idea, an alternate furure where Communism has won the day, but the setting is 1,000 years in the future.
The background and rules are in french so I’ll resume them a little here:
It’s a dystopic vision of the evolution of humanity where a staline like state control a pan galactic empire who’s oppressing its citizens, crushing any toughts or initiatives, and the players are members of factions (kgb, military, labourers, etc.) that vie to take control of the government.
The group is Imagika and their LARP is called Protokol. You can see some photos of their activities here.