Indeed - The extinction of Liberalism would go far to eliminate the other two.
Liberalism has codified policies that lead to enhanced sexism and racism by creating distinctive 'protected classes' of people, which always leads to conflict, whereas conservatism defines no such classes and bases the value, merit, and needs of every individual upon the individuals themselves.
In other words, primitives- If a person is a good person, they are recognized as such regardless of race, sex, or creed. The same is also true concerning bad people. Nobody gets any bonus points because of their ancestry or genetics.