Contraception is not only a women's issue and not only a religious liberty issue. It's an economic issue and an environmental issue. People having more children than they can support drives up the price of social welfare programs and makes them less attractive. People having children they don't want drives up the crime rate. Climate change and global poverty are essentially driven by overpopulation. 

Contraception is a big win for the Democrats. Put a picture of those nuns on a campaign poster with "Contraception, Republican Style" and watch white women zoom back into the Democratic column next election.