George Washington and several other founders were Masons. (Incidentally my dad belonged to a Masonic Lodge. A very long lived organization.)
Masons are/aren't Christian, have their own theology/have beliefs compatible with Christianity. Take your pick, it's fun.
Masons drew architectural principles from the Romans and other classical architecture.
DC's original government buildings are basically a massive tribute to Roman architecture. So much went into it, such as the "ley lines" that form the sort of star shape of the central street system.
And secret societies formed the underpinning of the US government.
We're probably the creepiest country on earth.