Can you provide a link to one of the better studies? It seems preposterous to me what you are suggesting. I'm interested in learning more.
This is a graphic from 2014, and it hasn't changed much. It shows 51% of conservatives get at least some of their news from sources they don't even trust (presumably liberal sources), whereas only 30% of liberals do.
Here's an interesting report from Pew on specific news sources, and the trust of those sources. One interesting conclusion, which if you're not careful can be misleading, is,
"Liberals, overall, trust a much larger mix of news outlets than others do." That's because conservatives go mostly with Fox News, because it's really the only major game in town, whereas liberals get their news from a much wider swath of news outlets, namely the three broadcast networks, CNN, MSNBC, WaPo, NYT, NPR, The Guardian, Bloomberg. But all of those varied liberal news sources report the same narratives, sometimes word for word. So it would be a mistake to think "variety of sources" = "variety of viewpoints."
I'm sure (well, not really) that you've seen those story snippets where something happens that liberals find uncomfortable, and you see where the three broadcast networks spent a combined total of like 73 seconds, CNN and MSNBC didn't cover it all, and Fox News had hours of coverage on it. One recent example of that is the four executive orders that Trump signed the other day regarding lowering prescription prices in the US. The three broadcast networks didn't mention it, neither did CNN. MSNBC had 16 seconds on it to say that it's meaningless and will be challenged in court. On CNN's website, the story is there, if you go deep enough into the Politics pages of the site.
Another important key in the Pew report that can easily be overlooked is liberals are far more likely to unfriend, unfollow or actually drop real-life friends who disagree with their politics, meaning, they literally shut out opposing views.
Likewise, another important key that could be construed to be more important than it actually is, is conservatives are more likely to see like-minded news and posts on their Facebook. But that is A), a function of the Facebook algorithm and not conservatives, and B), according to the underlying data, is virtually the same for liberals' Facebook feeds.