It ought to be possible to define "cultural left" ad "right" without introducing bias. For instance

CULTURAL LEFT: Vaguely defined, usually journalistic conception of the anti-traditional proponents of multiculturalism and/or political correctness as heirs to the radical politics of the 1960s, especially feminism and Marxism, and supposedly related tendencies, like deconstruction and ethnicity

from

http://people.ok.ubc.ca/creative/glossary/c_list.html

...although this def covers only the left and is wordier than I prefer, it llustrates what a typical def might sound like without necessarily injecting the writer's opinion

dalehileman