I feel this is too simplistic. There are apparently parallels to Nazi Germany's ideology, and the Nazis represent without doubt one of the worst regimes in human history. But they didn't 'invent' this. Their racism, their hatred, and their view on women whose place is 'in the family' has been here for much longer, and it is by far not limited to the 'Western' world (in China, officials go from door to door urging women to become pregnant, just to name an example, and a recent UN study found that one in eight women and girls alive today experienced rape or sexual assault before they are 18 years old).
One thing I'm missing in this discussion is the role of men in the family. No one appears to talk about that, at least not publicly. (Just stumbled upon this 1 min video.)
But that's just my opinion. Also, I'm not a historian or sociologist, so take this with a pinch of salt.