While I don't think the D&D alignment system really applies all that well to Eve (moral grays, lack of great cosmic wheel, oversimplistic, yadda yadda) ...
Aria Jenneth: lawful neutral with chaotic evil tendencies, dedication to order and clarity undermined by a thread of vicious, contrary stubbornness and perversity. Not complete, but accurate as far as it goes.
Edit:
Rok-Yuni - about the factions ...
I think that actually all four of the empire factions are aspirationally good, and this is one of the places where the "wheel" cosmology breaks down: every empire faction looks "good" from its own point of view, and you can easily write an impassioned defense of any of them in good faith from a member of the society.
Amarr: Lawful good.
"The one hope of peace, order, and prosperity for mankind is to be restored to the service of God, the all-powerful, all-knowing, and all-benevolent. This is the one hope, the one light, of the universe; all who stand outside are, tragically, lost. Our methods appear harsh, even wicked, to outsiders: we enslave their people, break down their cultures, and press them unwillingly into God's service. What they fail to understand is that this is their only hope; they are strong-willed, and set in their ways. Therefore, as sad as this duty may be, it is only by being broken, by losing their identities and their will, that they can be saved from the illusions that only lead them into torment, chaos, war, and, eventually, damnation.
"It is not for ourselves, but for the good of all humanity, that we must be unwavering in our devotion, though they may name us monsters for it. The future of our species, and of our very souls, depends on it."
Caldari: Lawful good (inward; lawful neutral re: outsiders, as the Caldari themselves would probably admit with a shrug).
"The universe is a vast place, and harsh. As it was with our heroic ancestors, if we are to survive, we must, first and last, look after our own. It is only through hard work, respect for tradition and authority, and obedience to our superiors that we can secure our place. Through this-- through cooperation and dedication to the common good-- we can secure a future, for ourselves and for our descendants.
"As the universe is harsh, so are the tasks facing us. To meet the challenge, we must order our society for optimal efficiency. There are those fit to lead, those fit to follow, and those unfit for either purpose. It is the business of our educational systems, and of our corporate meritocracies, to distinguish each from the others. Those who can be of service to their communities, their corporations, and their fellow Caldari as a people are placed so as to best aid in those roles.
"It is true that those who cannot serve their fellows, for whom no productive place can be found, sometimes fall by the wayside. It is a hard truth, but if we are to build a nation worthy of the heritage of the Raata, it can be no other way. Provide for those you care for, and help them to find a place. Failing that....
"We must remember, always, that what we do is for the sake of our children, and our children's children, down the cold corridors of time. Though the winter winds may howl beyond our walls, we must stand the test and feed the fires that warm us, together, united, for the sake of all Caldari."
Gallente: Neutral good.
[Insert your own impassioned, pro-representative democracy, pro-human rights, pro-civil disobedience (by other cultures' dissidents), possibly more than slightly libertarian-flavored screed here]
Minmatar: Lawful good.
"A thousand years ago, the vile Slavers descended from our ancestors' skies.
"These invaders took our land, yes, but it was not our land that they wanted. They wanted ourselves, our lives, our souls, bound into their service and the service of their god. To do this, they took our bodies and then set about destroying everything else about us.
"They tried, and tried their damnedest, but we survived. We persevered. Much was lost. And now, we are free! Free to follow our own ways, our own gods, our own leaders! Free to be as our ancestors were once before, to recover the old ways, the old laws!
"Much has been lost. The Amarr took our culture, our gods, our people. Even now, many of your own blood labor in their fields. Many more, twisted by a life in servitude worship the Amarrian god, the god of slavers!
"These, all of these, will be restored to us. This war will not end until our brothers and sisters are back among us. Those we have lost to the slaver god, we will have back-- and as for our lost traditions, our archaeologists learn more of our past with every passing day.
"The Gallente have been friends to us, it is true, but they are not of us, and they do not understand. They have lived easy lives, and however horrified they may be by the Amarr, they have never carried the burdens we have. Nor can they see the value, the importance, of what was stolen from us.
"Our beliefs, our traditions, our tribes, our way of life. Our form of government. All that we have lost, we must reclaim; only then, only when we are, once again, entirely ourselves will we be truly and entirely released the curse, the blight, the Amarr placed on our ancestors.
"Only then, when we are once more the tribes of Matar, entirely and fully, will we be truly free!"
The other factions seem like more of a mixed bag. SoE: clear Neutral good, in much the same way as Amnesty International: naiive, maybe; bad, no. ORE strikes me as having no special aspirations as a civilization: it's mostly a corporation that doesn't much like having its neck breathed down by other interests. So, probably Neutral. Same with InterBus.
Jove? ... Probably wistfully LG with regard to their own, could be almost anything with regard to others.
Then you've got the pirate factions: even more of a mixed bag. The Guristas strike me as aspirationally chaotic, with motives ranging all up and down the moral scale from "freedom fighter" (good) to "murderous thug" (obviously, evil). The Angel Cartel's leadership is apparently exceptionally ruthless (so, evil), but the organization itself is all about the internal law and order, so it could be cast as a LN version of the Caldari (with cheerfully LE attitudes towards the rest of the universe). The Blood Raiders, and Sani Sabik in general, are essentially cults of personal power in one way or another, so they'd be nigh-on unique in being outright aspirationally evil.
Meh. Being as the "great wheel" doesn't allow for nationality, this all doesn't really work very well, but it's a fun exercise in any case.