A couple questions though...where do the Tetrimon/Theocrats end and the Ardishapur start? Really, aren't both of them holding to the old scriptures before the Moral Reforms?
Also, are there any more 'complete' Scriptures? Going off of the EVE wiki, there only seem to be a few tidbits to use. What is the story behind it, for example why are the prophets included as part of it?
The line between Tetrimon, Theocrats and Ardishapur is mainly drawn in a question of political moderation.
Where Tetrimon are extremists, Theocrats ultraconservatives, and Ardishapur moderate conservatives, Tetrimon believe unconditionally that the Empire shall be ruled by a full Theocracy leaded by the religious corpus, in the case of the first Empire, the Council of Apostles. Theocrats believe the same, but I would say that they are kindof what the Sani Sabik is to the Blood Raiders : a bigger entity, less extreme and more moderated. Tetrimon are Theocrats, but the opposite is not always true. At least, to my mind.
What divides theocrats and the rest of the empire is not so much a question of Faith or culture. What keeps them divided is a question that is mostly political, covered with religious doctrines and beliefs. The Empire (all the ones not branded heretics, in short) believes in what is comparable to the Middle Age, where leaders were from the nobility and supported (or not) by the clergy. And contrary to the common belief, there is a separation between the state and the religion in the Empire. The Emperor may be the sole and unique representant of God, he is not the head of the clergy either. Of course, we have no clues of any pope or patriarch in the Amarrian religion, but the TC holds that role pretty well. As long as the emperor is in good terms with them, all is fine.
The theocrats believe in an Empire where the nobility IS the clergy. This is why the whole concept of a sacred Emperor is alien to them. This is why I like to call them Theocrats, but I doubt there are any PF material calling them theocrats.
For the Scriptures, we have only bits, but keep in mind that anyway, the Scriptures ARE the Empire, more or less. Every text, technology, encyclopedia, is part of them, so... You will hardly find an exhaustive source for the amarrian scriptures on the internet :p
EDIT : Even if I am not a fan of RL comparison, at least this one brings a lot of food for thought :
relevant link. Earthly power (absolute king) vs spiritual power (clergy).