I like to roleplay in my campaigns and I'm one of those people who renames and recolours factions. I am quite far into my Baktrian campaign in which I have almost brought an end to the squabbling diadochi and I am wondering how such an empire would be.

So basically I would be interested in some informed speculation on questions such as these:

What would the empire be called? Was there a name that Megas Alexandros used at any point that would be adopted?

Would the empire embody the Hellenic-Persian dream of Alexandros?

I suppose that Baktria was the most Persian out of all the successor states, so would it maybe envision itself as a new Persian empire and revere Cyrus instead of Alexandros? (Probably a stupid question unless the royalty moved to a Persian dynasty.)

Would the empire be progressivist and liberal or totalitarian and elitist?

I may start a mini-AAR once I have reunited Alexander's conquests, so as well as being interesting, this is personal research for that.