The New York Times and The Washington Post are not liberal equivalents of Fox News. They are not partisan news outlets, nor in the employ of the Democratic Party.
Yet many of their reporters do share a worldview. Most have university educations. Most live in large metropolitan areas on the East Coast, where they ride public transportation with people who aren’t like them, where there are large minority populations and LGBTQ neighborhoods and restaurants serving Ethiopian food or regional Chinese — which they can probably get delivered to their apartments at midnight, when they’re still working on a story.
In short, the best journalists in the United States are in many ways more elite and more cosmopolitan than the American public in general. That, in and of itself, is not a bad thing. Smart people who are aware of different kinds of life experiences make the best journalists. But that does mean that they have a particular way of seeing the world. And they would be much less susceptible to attacks from the Mark Levins of the world if they abandoned the pose of objectivity that opens them to those attacks.