The relationship between Federal and States government has changed a lot. We can say that the relationship began with more states' power and right now it lays more toward national supremacy. Before the 1930s, the roles of the Federal and State governments were very much separated and each government dominated its sphere. But after the Great Depression with the New Deal, many federal programs needed state support but demanded a national government that was more dominant.
Some historians see that nowadays there is new federalism, but I believe that states still have a big autonomy which prevents the national government from altering the beliefs and cultures of the state, such as with the immigration crisis.