Well doesn't it make sense for the LCS to attack the most dangerous targets first? They ARE trying to survive the fight and win, after all. Attacking weaker targets that can't fight back effectively, when there are stronger targets that are well-armed and healthy, doesn't make any sense. And as for Conservatives who crawl off (you didn't even mention that when fighting breaks out, Moderates and Liberals who aren't part of the LCS all crawl off too), well they are just trying to survive, as they realize the power of the LCS is no match for them. The LCS ALSO has the power to escape from a fight too, after all.
But perhaps certain Conservatives could be True Believers who never back down from a fight no matter how outgunned they are, and would NEVER back off from a fight with the Liberal Scum they HATE with such a PASSION, even if they are outgunned, outnumbered, wounded, and surrounded by healthy Liberals with machine guns. A reasonable solution would be to have Conservatives with Juice of 200 or more be True Believers willing to fight to the death against the Evil Scourge of Liberalism, while Conservatives with Juice below 200 would be, well, less Conservative, and unwilling to fight to the death if they are outgunned, outnumbered, and wounded, and want to get away so they can survive. What do people think of this option? It would be quite simple to code. Conservatives would attempt to crawl off as usual if their Juice is under 200, while Conservatives with Juice of 200 or more would never crawl off or retreat No Matter What because they know that God put them on this Earth to defend His Righteous Conservatism to their last breath (since they saw Pat Robertson say it when they watched the 700 Club and believed him). Wasn't it Sarah Palin who said, "Don't retreat, reload!" But that is just how the Arch-Conservatives with Juice over 200 would act, the ones with Juice under 200 wouldn't be so ideologically committed to the cause of Conservatism, and would be sensible enough to follow their survival instincts and crawl off as usual so they can live to fight another day.