The problems with making a version of LCS where the CCS is playable are these:
(1) - all of the things in the game that influence public opinion would need to be found and some of them significantly rebuilt. This would be a major, major overhaul, at least as significant as the entire planned Terra Vitae mod if not moreso (even in that mod I am not replacing the LCS with Terra Vitae...).
However, even more important,, is this:
(2) - in Liberal Crime Squad, the conservatives are villains. The issues that the game is based around are done so in order to make the conservatives villains. However, very few real conservatives believe that the penalty for any crime no matter how serious should be death, or that slavery was a good idea and that we should start it up again, or that elections should be corrupt, or even that private citizens should be allowed to own military hardware that would make them a threat to the United States army.
This latter point is what requires Conservative Crime Squad to be a whole new game - the issues that the heroic, player-controled CCS would be different from those that the LCS is fighting for in the game that we already have, in some cases having very little overlap. Sure, you could use the code for the LCS game as a starting point to make a CCS game, much as Jonathan Fox is using the code for LCS as a basis for his Zombie Survival Squad game. However, ZSS is not a mod for LCS; it's a brand-new game, and making a CCS game would be a similarly monolithic undertaking.