I think in 1950, enough Americans were racist enough that many they'd simply head to a different neighborhood restaurant if a particular business had an appreciable number of black patrons. Maybe that's generous: in the 1950's the majority of Americans in many states were racist enough to try and ban interracial marriage...
Without the federal crackdown on discrimination in the 1950's and 1960's, housing, employment, public places, education, marriage, etc, would have remained segregated. In the background of that segregation, how long do you think it would have taken to get from "typical American circa 1950" to "typical American circa 2014?" Laws create social norms, and laws banning discrimination allowed a couple of generations of Americans to grow up in an at least somewhat integrated world, which led to the America of today where you can see people boycotting a business for serving blacks as something difficult to believe.