A lot of that angle is left out of histories aimed at general audiences (though historians are rarely unaware of them).
That said, this doesn't necessarily make people in these groups 'occultists'.
The way in which particular philosophical ideas accumulate signs, symbols, and rituals essentially comes off as 'occult' but it's a regular part of how ideas are transmitted, and there's a sliding scale based on how widespread the ideas become
Like, histories of the united states aimed at students don't typically make a big deal out of freemasonic influences. But, the people who started & ran that revolution were associated with freemasonry & with pseudo- or non-masonic secret societies (like Franklin's own Junto), & that was the channel through which a lot of social networking happened and a lot of revolutionary ideas flowed.
So, masonic symbolism in the design of Washington DC or on the great seal is not proof of an illuminati conspiracy (though the United States was basically doing what the bavarian illuminati wished they could do) but instead a natural expression, because the symbolism of freemasonry is how all these folks were already expressing these political and philosophical ideas to each other.
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