No, as you can get social liberals and economic liberals. For example, a liberal may be pro-choice and support gun control, but believe the government should reduce its role in the economy. Or vice versa.
Often individuals are not liberal or conservative across the board, and it is often considered good for people to be 'out of line' on some matters as it suggests independent thought. Short answer:...
One may as well ask "Are all Christians non-liberal?" because that is the same kind of question. An athiest is someone who believes that there is no god. Unlike most other religious categorisations,...