Most of those who believe in chastity as an idea do not mean by this that women should stop producing children, as that would result in the extinction of the race.
In both Western and Eastern traditions, chastity is a virtue, the pracice of which is defined not by the elimination of sexual activity, but restricted to certain circumstances- usually within a sanctified relationship, such as marriage. As such your KV order has a logical disconnect since it is forcing women to bear children in the service of the Order. That meets no definition of chastity. Perhaps you meant something other than "conscripted", because that is incongruent with the virtue of chastity in this context.
The conflict of values exists because these two knightly orders are going to be the dominant powers in the campaign, and at least at first, the players will not be able to openly oppose them and will need to feign some kind of acquiescence.
The conflict of values is simply between evil and "eviler-er"- and according to you, the majority of the world follows one or the other of these ethoi.
As I have pointed out, this is just devils & demons. There is no real heroic conflict here for PCs other than which repugnance to eradicate first.
To put it differently, you've designed a world in which the Nazis and Stalinists are the only major sociopolitical forces, and the majority of the world agrees with one or the other, because there are clearly no Allies.
Edit: As far as divine beings are concerned, I plan to have a campaign where gods don't walk the earth.
This isn't about gods walking the earth, this is about gods being so revolted that they call up followers of their own to take up arms against an injustice the god perceives needs destroying- kind of
the core of the Paladin as a figure in myth, legend and FRPG class.
