[parminya]

The UK has one or two state religions, bishops ex officio have seats in (the less powerful house of) parliament, and the upcoming coronation of their king will be a church service (with communion and all). Germany collects taxes on behalf of religious communities. Australia and Canada regularly send public money to religious schools.

I don't think the separation of the Church and State in the US is particularly less than normal. The separation of Church and Politics in the US is probably less than normal, but that's an entirely separate matter, which - to the extent that is antidemocratic - can probably only be addressed by democratic reform.