Great analysis. I have a few points I would want to make about it though.
First of all I think there needs to be a distinction made between the First Aldmeri Dominion and the Second and Third.From what we are seeing, I am not convinced the First Aldmeri Dominion is a fascist society rather than an monarchical society with the opposing classes of the nobility and the sapiarchs/priests and the Queen. (The bourgousie in Altmer society can usually trace back their ancestory to nobility as well, as these records are a fundamental part of their society. If you aren't a noble Altmer, you are most likely serving a noble or are one of the outcasts with no rights)
What is missing from the First Aldmeri Dominion compared to the Third that I think is necessary for the society to be called fascist would be the single-party mentality that everyone needs to support the same political faction, for example the Thalmor, and no tolerance for open opposition. "Naemon should have been King" is a sentence we hear a lot ingame and we meet nobles who openly oppose Ayrenn. The ideal fascist dogma is "if it's not explicitly allowed, it's illegal" while Ayrenn seems to be far more lenient more akin of "if it's not explicitly forbidden, it's allowed".
At best we have an absolute monarchy with regional nobles - at worst it is a fascist society without a fascist ruler with Queen Ayrenn's very hands-off approach at ruling.
However the Third Aldmeri Dominion is most likely a very typical fascist society with the Thalmor and Divine Prosecution policing and ruling over everything.
A definition of fascism on your part would have been good though, especially to distinguish it further from capitalism, seeing as fascism is usually opposed to the free market as well.
Secondly, as a bit of a nitpick, the Bosmer and Orsimer didn't leave due to religious scisms.The Bosmer were most likely Aldmer (not to be confused with Altmer) colonists who made a pact with Y'ffre in order to survive in Valenwood. The Orsimer were on the same side as the main stream Altmer, even going as far as to try to stop the Chimer from leaving Summerset. Only due to Trinimac's defeat and defilement at the hands of Boethia were they changed and cast out.
Thirdly, I think it's worth examining the Argonians again under a different paradigm with the Hist being their absolute rulers and all Argonians being slaves or serfs to them.
Fourth, another nitpick, Bosmer don't need imported wood to build their own houses, they grow them from live trees. :P
Great work though overall!
Author doesn't know what socialism is and which horrors it means.