the idea of converting LCS into a sort of universal political sim would be difficult, it would require a complete top-down redesign as-is... but it's possible.
perhaps it could be based on the "political compass" style 4-point system (economic Left/right verses Authoritarian/free). With several groups from all across the spectrum vieing for power. That would make things interesting because you're not only fighting a hostile government, but you are fighting other revolution movements as well.
Perhaps also being on different parts of the spectrum might cause different issues. Here's a basic idea:
Left-Free: Never run out of food as your messege of "sharing what you have" spreads, however everything else costs slightly more
Left-center: Socialist philosophy allows all weapons and equipment to be distributed evenly, making defence easier, but perhaps keeping the better weapons out of the better soldier's hands
Left-authoritarian: Hyper-centrilization means that your initial base is VERY difficult to overrun, however once it is, you cannot move operations to another.
Center-free: Live free or die mentality means that your soldiers are more effective, but they may disregard orders.
Center: no effect
Center-authoritarian: If your leader is present, all people work more effectively, if power is out or people are otherwise cut-off from your inspiring messege, they are less effective.
Right-Free: Hyper-decentrilization makes the loss of any base less severe (there will always be at least one surviver in a base with at lest 5 people) however since each base works independently they may not recieve orders or may chose to ignore them
Right-center: Big business connections make money easier to come by... but it makes public opinion sour.
Right-authoritarian: Better guns are availible however soldiers take longer to train due to stiff indoctrination.