Of course this is about the all male priesthood of the Catholic Church, and the male only position of most Baptist churches.
At root, though, this is about the right of a church to define its own doctrine. If that is not upheld, then every church in America is covertly a “Church of the US Government”, and simply awaiting the day the government steps in to pronounce new or changed rules.
Any denial that the government is targeting the male-only priesthood is also simply a matter of timing. The real issue is that they are not targeting it “NOW.”
A year, a decade, a century later, and then it might be just the right time.
I think you’ve totally nailed it, xzins.