My read on it is the secret Vatican power players (those you refer to as the Illuminati) were trying to blackmail the pope and Benedict turned the tables on them by resigning. I don't have evidence of this other than my hunch.
That means, possibly, that all bets are off and that the truth may out itself after all.
Although, probably not. The possibility is in play.
"There is a Catskill eagle in some souls that can alike dive down into the blackest gorges, and soar out of them again and become invisible in the sunny spaces... even in his lowest swoop the mountain eagle is still higher than other birds upon the plain, even though they soar." -- from Moby-Dick