The general ideologies of social liberal/conservative make up most of the popular ideas on how a society should run, and what it should value and seek to take care of.
Social liberalism has taken off in popularity, ever since the Women's Suffrage and Civil Rights Movement. Today, in America, most people hold socially liberal ideals. The Founding Fathers held these beliefs, and fought for equality for everyone (eventually).
The core values of a social liberal comes from ideas of equality, acceptance, and social freedom. Typically socially liberal people support gay marriage, and some (not all) join feminist/women's rights movements. Democracy typically either follows social liberalism, or allows it to flourish in countries that include it.
The converse to this ideology would be socially conservative, which holds values of traditionalism more so than progressivism, and value religion, moral behavior, and hierarchy. Several social conservatives would go so far as to call themselves Traditionalist, someone who upholds strict gender roles and has very strict ideas on how people should act. This could even be seen as a form of Confucianism.
There is a big divide in America today, as people debate on what people should value, and due to the 2016 election, many have become radicalized, and many people have switched to Antifa/Ancom (if socially liberal), or traditionalist (if socially conservative). That divide may close in a while, but due to the recent actions of President Trump, I do not see it stopping anytime soon.