If conservative is defined as wanting to live by religious doctrine or being anti-abortion, then the media is not particularly conservative. If conservative is defined as supporting current institutions of privilege, power, and domination, then the media is conservative as hell.
If liberal is defined as wanting fundamental changes and real social justice, then the media is not liberal. If liberal is defined as being classist, elitist, and status-seeking, then the media is liberal as hell.
When people who identify as conservatives call someone a liberal what they often really mean is that they are classist and arrogant – which many liberals are. When people who identify as liberal call someone a conservative, what they often really mean is that they are sexist and white supremacist – which many conservatives are.
But you can find classism, arrogance, sexism, white supremacy and every other wrongheaded, hierarchical view among people who identify as liberal or conservative or anything else. You’ll also find people who identify as liberals who are not arrogant and people who identify as conservatives who are not white supremacist.
As far as I’m concerned, both “liberals” and “conservatives” are fundamentally conservative. Is the mainstream media radical? Hell no.