I don't actually think that is what he is saying there, Doug.

What I read him as saying is that there are two models of how a family should work within our heads. He labels one the "strict father model", and the other the "nurturant parent family".

Both models are present within most of us, and real families tend to combine them, whatever their formal politics.

However he says that "liberal" politics reflects the"nurturant parent family" model, and "conservative" politics reflects the "strict father" model.

And, whether you agree with his analysis or not, I think it's a misreading of what he wrote to take him as saying that real life "conservatives" typically have families like the one summed up in the "strict father" model. (And the same for "liberal" families and the "nurturant parent family" model.)