sexual conservatism

With a POD no earlier than 1950, have both the Democrats and Republicans stay sexually conservative but liberal on race and women's opportunities (wages, jobs, education), immigration and drug decriminalization (but still illegal), but stay conservative in issues such as gay rights and abortion...

There are many threads out there about sexual revolution wanks and social liberal wanks, and not much sexual conservative wanks. Now the challenge is to devise a scenario where the march towards greater civil liberties and economic rights (civil rights, no death penalty, women's rights, etc.)...