This has been tried at least twice. Arizona in 1953 and Texas in 2008. In both cases, it turned out to be a political nightmare for the states.
Few if any of the women turned on the church and most were quite vocal advocates. The states wound up "taking children from their mothers," and both liberals and libertarian-oriented conservatives were appalled by state "over-reaching."
The whole situation is a really tough nut to crack. The women are highly supportive of the system, so to remove them from it you have to impose your own version of what they should want on them by force.
Which of course brings up the question of whether the states or the federal government should be doing things like this.