No, you take what you read at face value if it confirms your bias.
I actually do look for facts and make my own assessment. And when the facts are overwhelmingly on the side of the Far Right being the biggest source of terrorism, I have no choice but to accept that. As the saying goes, facts don't care about your feelings.
Yes, all media is biased, but there are two things to keep in mind. First, there is a difference between Fake News, like Breitbart, extremely biased news, like Fox, and fairly accurate news that is still far from perfect, like CNN.
Secondly, when every source is reporting the same facts and from different studies, then changes are the results are true.