Historically?
You mean bavarian illuminati? Because "The society's goals were to oppose
superstition, obscurantism, religious influence over public life and abuses
of state power. "The order of the day," they wrote in their general statutes,
"is to put an end to the machinations of the purveyors of injustice, to
control them without dominating them"."
WHAT KIND OF MONSTERS ARE THEY?!!
https://en.wikipedia.org/wiki/Illuminati
Oh, and if you mean so-called modern illuminati, besides being complete BS,
their goal would be to bring a "new world order", a totalitarian order (the
opposite of the bavarian ones, btw).
Which is funny because it's part of "right-wing populist conspiracy
theories". And because the only rational answer to a totalitarian order would
be "the rise to power of authoritarian ultranationalist demagogues".
https://en.wikipedia.org/wiki/New_World_Order_(conspiracy_theory)
What was your point again?