Religious practice is fine but withholding a secular education from children or ditching modern medicine, or attacking the rights of women or exercising corporal punishment isn't.

I don't see how having the ability to put a stop to it is authoritarian, at least not any more than religious extremism itself is. The alternative to government exercising control over religion is having religion exercise control over government. The problem doesn't go away.

Fair enough. That’s not what I thought you meant by “keeping religious orgs in line with state secular views” or whatever. Even still, you don’t need state control over religion to achieve those ends, and indeed in the US where the state is constitutionally prohibited from interfering with religion, these things aren’t problems (at least not to any reasonable interpretations).