"Liberal" is opposed to "Authoritarian" and just means a person who favors democracy and personal freedom. Or it should, but in America our fascist conservative party has convinced people that "liberal" is a slur and also means "progressive," which is the actual opposite of conservative. But liberals aren't always progressive, which is why actual American leftists, who are progressives, use the term "liberal" to derisively refer to centrists. American centrists are politically conservative but hold some socially progressive values.
The wake-up occurs when you realize that politically/economically conservative policies lead to and support socially conservative ones. One can't actually be socially progressive but economically conservative, it's an incoherent ideology. Americans are raised to be good at double-think and distracting ourselves so we're able to cope with the contradiction.