The civ would use enchantment, mind, and body mana. The civ would be organized, possibly industrious, possibly adaptive, but would suffer a -75% GPP hit. Individuality does exist, but much of it is used for the greater whole. Culture is still normal because again, individuality exists, they can be swayed and can sway others. Alignment is neutral.
For unique units... I'm not too sure yet. Could be a warrior replacement which can be used to rush projects (much like the dwarven priests). They might even get a telepathic unit, which gets a bonus based on the enemy's level (say +10% strength bonus per enemy level). That is, the smarter their enemy is, the better tactics and counter tactics it uses itself. The best way to combat it might be to rush it in a mindless charge, except that it can still employ tactics itself. I figure this would be a national unit. Unique units aren't too important because all units from this civ get a strength boost based on how much total XP earned, kinda like how great generals work, but instead all units built benefit. This replaces the need for training yards, shipyards, etc.
Unique buildings include towering obelisks which are manned by powerful mind mages which can direct people to specific purposes. Some might be geared towards making people happy, others towards reading the thoughts of traders and catering to their needs (controlling their thoughts wouldn't bring them back), and similar ones. All other buildings are replaced by projects, which benefit the civilization as a whole when built.
The core theme of the civilization is perfection of the mind and of the body and society. When people reach a certain age, they are infused with a "package" of collected thoughts and experiences and knowledge, so they can learn from other past experiences. The "doctors" also rely a lot on body mana, so people tend to be at the peak of their health for a good long while. Most unhealthiness comes not from physical defect, but city sprawl/environment. The projects built by this civilization are designed to improve this package so people can use the most well known tactics available.
Religion and this civ are a bit at odds. The dieties scoff at the concept of pefection, as the goal is to make the people almost as dieties themselves. However, the individuals may still worship and the leaders may even lead them onward in matters of faith, even if the leaders themselves do not subscribe to the beliefs.