The hbd chick tries to correlate family type with ideology, based on the 7 family types. The discussion is mostly about Europe. To simplify, there are 2 main types:
American nuclear family - autonomous unit consisting of dad, mom, and kids; dad is head of household; Christian ideals.
Old world family - arranged and cousin marriages; rigid inheritance rules; household authority includes extended family; tribal culture.
The past 50 years have seen systematic attempts to undermine the American nuclear family. There are many factors, including financial incentives for single motherhood, massive immigration by old world families that refuse to assimilate, and leftist-feminist opposition to Americanism.
I think that they are on to something. Family types explain a lot. A big advance in European civilization occurred when Christianity abolished cousin marriages about a millennium ago. Islam has not. Families are very important in China and India, but they are not like the American nuclear family. The American nuclear family made American great, and now no one is defending it against the forces that are out to destroy it.