And what are the ramifications of society, if any?
Lawful - neutral - chaotic. Good - neutral - evil. This three-axis scheme has become familiar on social media, especially Facebook. See pic. Many people just accept this model as making sense. Does it?
I was thinking about the comic book notion of Heaven and Hell being at war and being unconcerned with collateral damage. How does this make sense? Isn't Heaven Good and Hell Evil? Shouldn't Good be compassionate and kind? But what if comic book Heaven is Lawful and comic book Hell is Chaotic and that's the only dichotomy at play? Isn't that really what the comics are portraying? Sure, Satan and Mephisto are evil, but is every demon in comic book Hell evil? Would it be that shocking to find a Chaotic Good demon? How about a Lawful Evil angel? The D&D model suits this perfectly.
I could argue that perceiving the possibility and implications of Lawful Evil and Chaotic Good is precisely what it means to achieve the highest level of moral sophistication. Yet I wouldn't have the terminology nor even really the concepts without D&D and all that it spawned.
It's when a player (or NPC) becomes so obsessed with an alignment axis where he loses all pragmatism/objectivism. In order to enforce the rule of drama comic heaven tends to be pushed into lawful-stupid territory. . . especially when it comes to the militant arm of heaven. It is less common for the Good-Stupid, but it happens sometimes too. It is the Paladin who says I use Detect Evil, He's Evil, So I smite him.