I'm not convinced that's true. Democracy was invented by polytheists in Athens, while monotheists seem to have a penchant for monarchy and fascism. (But monotheism versus polytheism is probably more complex. See Robert Sapolsky's fasinating essay, "
Are the Desert People Winning?" If you can find a copy of his book
The Trouble with Testosterone, see also his essay "Circling the Blanket for God," which is the last one in that volume.)
Either way, a theistic system for social organization
was almost certainly an important advance. But I find it interesting to contrast, for example, the priestly-prophetic form of governance in the Hebrew scriptures against the randomizing effects of how polytheism worked in Greece. Could the people of Israel wandering in the desert have managed with a cryptic oracle?