Single word request: Theocracy without gods
wikipedia states on its Nontheistic_religion page :
Nontheistic religions are traditions of thought within a religious context—some otherwise aligned with theism, others not—in which nontheism informs religious beliefs or practices.
It also states on it Theocracy page:
Having a state religion is not sufficient enough to be a theocracy in the narrow sense of the term. Many countries have a state religion without the government directly deriving its powers from a divine authority or a religious authority directly exercising governmental powers. Since the narrow sense of the term has few instances in the modern world, the more common usage of it is the wider sense of an enforced state religion.
So I’d say ___ has a “state religion” or ___ is a “nontheist religious state”.