The second challenge you posed can be addressed as the Statistics Fallacy, and
@rockfox has broken that down beautifully here. I think of the Divorce challenge, as a bit of a Red Herring Fallacy, where they try to switch the topic to something irrelevant, as our objective is to see fewer divorces, and we know that when women make better choices, their impetus for justifiable divorce (ie. abuse in the home), is much less likely to occur. The "husband cheated on me" excuse for divorce, no longer flies, when we notice that Jesus gave that fornication exception to the husband, not the wife.
When it comes to women making better choices, I am reminded of the "Tom, Dick, and Harry" flick that came out in the 50s or 60s. Unfortunately too many women marry the jock who is juiced up on steroids, or the party animal who lives for the moment, because he makes them feel good, and then they wonder why he is physically abusive, or drinks too much. Cap that off with Feminism's push for women to express themselves, and you end up with a lethal combination of the button pusher wife, whose husband has very little, if any, inhibitions. I have sympathy for the battered wife, but I remember when some of those women would not have anything to do with that tall lanky computer nerd, who was awkward around girls. While I have sympathy for their plight, I do not feel the slightest compulsion to pick up the pieces for them, after they fled the Nabal that they ended up with.