For the record, why compare law vs. chaos to right vs. left (which is a terrible comparison, even when only symbolic) when we have the much underused (coincidence?) second political axis, authoritarian vs. libertarian? Authoritarianism leans towards law, and libertarianism leans towards chaos, though in my opinion it would be a terribly incorrect simplification to equate any of them to their natural counterpart, because, as philosophical positions, there is a lot of wiggle room for why one might adopt them.
We all know that too much authoritarianism can lead to evil in a big way (Hitler and Stalin), and it is pretty clear that too much libertarianism (pure law of the jungle, do whatever the hell you have the strength to do) would be pretty nasty and barbaric too. 
In this context, I think a LG vs. CG showdown would very much focus on differing opinions on what could deliver the best and most reliable amount of goodness, consistently, with the least chance of sliding towards neutral, and then evil.