Back up for a second and explain what you mean by the strict father and nurturant parent frameworks.
Well, the progressive worldview is modeled on a nurturant parent family. Briefly, it assumes that the world is basically good and can be made better and that one must work toward that. Children are born good; parents can make them better. Nurturing involves empathy, and the responsibility to take care of oneself and others for whom we are responsible. On a larger scale, specific policies follow, such as governmental protection in form of a social safety net and government regulation, universal education (to ensure competence, fairness), civil liberties and equal treatment (fairness and freedom), accountability (derived from trust), public service (from responsibility), open government (from open communication), and the promotion of an economy that benefits all and functions to promote these values, which are traditional progressive values in American politics.
The conservative worldview, the strict father model, assumes that the world is dangerous and difficult and that children are born bad and must be made good. The strict father is the moral authority who supports and defends the family, tells his wife what to do, and teaches his kids right from wrong. The only way to do that is through painful discipline - physical punishment that by adulthood will become internal discipline. The good people are the disciplined people. Once grown, the self-reliant, disciplined children are on their own. Those children who remain dependent (who were spoiled, overly willful, or recalcitrant) should be forced to undergo further discipline or be cut free with no support to face the discipline of the outside world.
So, project this onto the nation and you see that to the right wing, the good citizens are the disciplined ones - those who have already become wealthy or at least self-reliant - and those who are on the way. Social programs, meanwhile, "spoil" people by giving them things they haven't earned and keeping them dependent. The government is there only to protect the nation, maintain order, administer justice (punishment), and to provide for the promotion and orderly conduct of business. In this way, disciplined people become self-reliant. Wealth is a measure of discipline. Taxes beyond the minimum needed for such government take away from the good, disciplined people rewards that they have earned and spend it on those who have not earned it.
From that framework, I can see why Schwarzenegger appealed to conservatives.
Exactly. In the strict father model, the big thing is discipline and moral authority, and punishment for those who do something wrong. That comes out very clearly in the Bush administration's foreign and domestic policy. With Schwarzenegger, it's in his movies: most of the characters that he plays exemplify that moral system. He didn't have to say a word! He just had to stand up there, and he represents Mr. Discipline. He knows what's right and wrong, and he's going to take it to the people. He's not going to ask permission, or have a discussion, he's going to do what needs to be done, using force and authority. His very persona represents what conservatives are about.
