" Are classical majors/programs like engineering, history, and economics still taught at liberal schools? "
Doesn't seem like it does it. My impression is courses offered today are farting in the wind 101, Elephants giving birth to fleas would be like oh so Kewl and Real Friends are Fun like a chapped a$$ in the middle of winter are considered high on the liberal curriculum.
There are a FEW (and I stress few) Universities out there that are teaching students the RIGHT way.
I attend a small private business school in northern Michigan and the philosophy and focus of our school is concentrated on learning the pro's of small government and free enterprise.
Also almost 80% of our campus reported they were Republican in a poll conducted by a club on campus.