Well, who are the Illuminati in question? ;-)
The symbology of esotericists, esoteric masons, etc has nothing to do with taking over the world, though some conspiring to make profound changes (whether actually good or actually bad) may have known and used them proudly.
The swastika was for millennia a symbol of radiating, solar energy (and goodness) from SE Asia to Ireland comprised. The nazis stole it for precisely that reason, attempting to harness an esoteric "solar current" for their new Germany, the nazi egregore. They had it what, a few decades? Now 90% asked know it only as a symbol of hitlerism.
What does that make the swastika and the "illuminated" folks who used it for millennia? Nazis? There are ancient synagogues decorated with swastika meanders in the ME.. But they have no ties to the nazi's economic policy or Speer's scenography projects.
I doubt that the founding fathers of the USA, who made sure we'd be rife with esoteric symbols in our nation were trying to perpetrate an evil scheme. Symbols (writing) are what permitted humanity to communicate, preserve knowledge and progress from generation to generation instead of maintaining the status quo.
Complex symbols can contain and communicate concepts in a way linear writing cannot, hence the use of yantras by yogins, sigils by magicians, and logos by companies. All symbols have only the meaning we put in with our minds, as someone on acid might see symbols of importance in rock patterns or peeling paint; because their mind is manifesting ideas in their currently-fluid perception.
All symbols are props, and unreal. The ideas are not and therefore on a very real level the use of the prop becomes a necessity. At least until we develop telepathy.
Those with an esoteric bent see the symbols as ways of accessing ideas and put much value on keeping them "pure" i.e. having them known only to those who will keep their attributions. The belief is that ideas become nonphysical entities and can be reinforced or perverted through use. Hence the terror of having their symbols "profaned", and therefore tons of secrecy.
Real mysteries cannot be had in words, or truly contained in symbols. Symbols and words (same thing) can help one towards gnosis by "pushing the right buttons", they don't just spread mental viruses, but vaccines as well. And knowledge doesn't hurt.. in short it is impossible to "know too much about mysteries".
So don't fear the polygons, study them.
...or something to that effect....
Love is the law, love under will.
Zejith Themis
.:420-510:.
FIAT IUSTITIA
RUAT COELUM