A common theme in politics is the purported dispute between those who favor a strong central authority for as wide a sphere of influence as possible, versus those who favor either more localized authorities or else weak authority, emphasizing the individual.
In American politics, I believe that the parties are mischaricatured as the authoritarian - Republican and the anti-authoritarian - Democrat. In truth, both parties make strong claims to restricting the authority of the federal government in different spheres.
Economic Social Foreign Policy
Republican Party Little-no authority State authority Interventionist
Democratic Party Federal authority Little-no authority Relative non-interventionist
I know the above is baby-dribble to a political scientist. It also doesn't tell the whole story. Republicans have pushed for federal control over social issues--however, abortion isn't one of them (overturning Roe v Wade would not make abortion illegal; it would only make it a states-rights issue).