Have you thought of making this a 2D broader alignments, rather than just having 9 categories?
How the hell did you come to the conclusion that the Archangel of Law and the religion devoted to the God of Law should be Chaotic? That makes no sense whatsoever. The Order should make anyone Lawful, and not necessarily change things in terms of good and evil at all. (Actually, the fanaticism of this religion make a neutral stance on the good-evil axis seem impossible. It might be interesting if it would push you towards either good or evil. ) (I just noticed that even tough you claim The Order is Chaotic Good, you still have it making players Lawful good. I'll assume part of that is a typo.)
OO is definitely the most chaotic religion, and should make anyone who uses it chaotic. It has some really dark aspects, but some OO cults really aren't that evil and there are plenty of good people follow such superstitions. In two dimensional alignment scheme, I'm not sure it should even effect good vs evil.
The Fellowship of the leaves doesn't strike me as Lawful at all. True Neutral fits best. .
The Ashen Veil really isn't that Chaotic. It is definitely true evil, and should not effect the lawful-evil axis.
The Empyrean seems slightly on the side of lawful, but less than either The Order or Runes of Kilmorph. I prefer to think it is True Good, and should not effect the lawful-chaotic axis.
The Runes of Kilmorph seem lawful good, but not nearly as Lawful as The Order or as Good as The Empyrean. I think it is more Lawful than Good, and could see it as Lawful Neutral pretty easily.
So, my D&D religion scheme:
Basium (who you did not have in your list) seems the most clearly Chaotic Good. He despises the Compact, and Sabathiel says (or at least Capria says that he says) Basium possesses no mortal virtues and is not to be trusted.
Falamar is definitely on the good side of neutral, and Hannah on the evil, although neither is necesarily far enough from neutral to really be called good or evil. Falamar reminds me a bit of Elon from Order of the Stick (I imagine he has a lot of level in the dashing swordsman prestige class), and so should perhaps be Chaotic Good instead of Neutral. Hannah has very chaotic mood swings, but she also keeps her fleets strictly following orders out of fear, so I could see her possibly being lawful but probably chaotic.
The Winter Court has traditionally been associated most with mischief (originally just harmless pranks, before Sucellus died), and so seem pretty clearly Chaotic.
The Balseraphs are clearly all Chaotic, but they don't seem all that evil. Their leaders should be split between evil and neutral.
I tend to think that Einion Logos would be better as True Good and Ethne as either Chaotic or Lawful Good. While Ethne openly defies her people's tradition and Einion clings to it, these traditions are ones of moderation, or not going out to impose one's will on others.
Mostly because it would let you fix the religious roles... Good vs Evil would be separate from Law vs Chaos.
That would be really awesome.
