Well part of that is the problem with those sources. Unless you aggress with them watching those sources is highly annoying even on the rare occasion when they are accurate and honest in their reporting.
Fox and Hannity and the rest have their own issues which is why on the people on the other side ignore them as well.
Frankly I find anyone that uses only the mainstream anything as their sources, left or right, to very low information and not very interesting to talk to.
I started out as a younger man on CNN, MSNBC, ABC, CBS as well as various newspapers and magazines and the moved towards Fox etc and more world based news sources/magazines after college. I've left them behind and found plenty of voices on youtube. When they get a little out there or agenda driven or just too repetitive (no new info) I dump them and move on.
There is only one form of narrow minding agenda driven news/opinions that I agree with: Those that push for freedom and liberty. Sorry but people wanting to squash gun rights or free speech or liberty in general, I find they have nothing interesting to say. I'm pretty sure a lot of people feel that way. I think that has a great deal to do with people shunning various outlets and defriending/blocking people. Those pushed to the outside are crying fowl now, but that is only because they used to be able to get away with it and did so to their advantage for most of modern history. The new reality is that the game is up, we are on to you and we can finally drive you from our village, even if it only a virtual one.