The US is pretty extreme, you have at the same time easy access to all the pornography you want (unless you’re in states that require age verification), and also a very prude culture. It’s not the only place with such contradictions though
Some TV shows rightfully take aim at this contradiction (recently: The Hunting Wives).
I doubt there would be a special zoning category exclusively for strip clubs.
Where I live "adult entertainment" businesses are forced in most cities to use industrial zoning, like in warehouse / factory districts.
In Texas, I guess it is a lot more restrictive, but most of those businesses are "grandfathered" in because they were built before the suburban areas got built up and the tougher zoning laws went into place.