Yes
Yes. Religions posit a supreme divine authority, democracy wrangles messy human argument, compromise, corruption and frailty. They're not only incompatible, they're absolutely contradictory. Give me the humanity of democracy every time. Though I'm fond of Zeus and his wives, daughters etc...
But religions are by definition incompatible with each other too. They cannot all be true, and yet they all exist. Which part of human history, anywhere, ever reflects the reality of an omniscient, all-powerful, merciful God?
The more I watch British democracy the more I favour electing a Presidential Executive and letting her or him appoint experts to Secretarial office and having an elected Revising Chamber. The only part of our constitution that works is the Head of State. Wouldn’t swap her for anyone anywhere in the world…