One of the issues I have with it is what you've outlined above but it's worth noting that the emphasis is primarily on females. Which leads to the second issue, simply the word 'purity' and this was mentioned before as well. The opposite of pure is soiled, dirty, impure, to be held at arm's length. Having the belief, as many evangelicals do, that the male is the head of household and dominant over all, it funnels as does much of religious (extremism in particular) thought towards females are the sin eaters of society. Every guilty thought, every illicit act, every dirty desire that soils the soul, every sin and it's resulting consequence is always the fault of the female forever and ever, amen. Males can say, 'oh no, women have their role within our church, we venerate them for being obedient wives and mothers, etc' but after some discussion one realizes that the flow chart returns back to that one overarching belief that women are to suffer for not being male and to take that suffering and never blame males for it.
Those who would like a theocracy in this country are not so different from those currently ruling Afghanistan. Ask their young women over the age of ten how their education and futures are going....