Ah the "Illuminati" a "secret" organization that everyone knows of who are bent on world domination...we have dismissed that claim.
We have the entire history of the real Illuminati which was founded by Adam Weisshaupt, an organization that soon went defunct and existed centuries ago. Apart from music videos containing the eye symbolism (something these artists do simply to fuel further conspiracy theorists) there is little evidence of them still existing or controlling the world (and the original organization wasn't even formed to control but to lessen the state's control on their country).
There's no conspiracy stuff in the game OP. Bioware aren't interested in that nonsense. The all-seeing eye isn't just a symbol the Illuminati used and I didn't even think anything of it when I saw it in Inquisition.
...and the name of the Warden's main fortress is.....
Look, probably DA:I, ME, etc is full of Illuminati crap. I better save my breath from any effort of confirming/denying it and focus on the important part: I-don't-care.
Let them put all the signs they want; ultimately the decisions, morals and actions you take in your life are yours. In that aspect (manipulating people onto accomplishing the Illm's desires), CoD and Battlefield are way more Illuminati than wishing you could throw fireballs with your hands.
Gods bless sci-fi and fantasy for that 