I don't watch the news and I wonder how someone does without God. He is my hope...the world is an evil place with needy people whom I can hardly help.... I believe that evil is responsible for the bad news...too many people blame God for all of it (or allowing it)... when it's people who cause it.
I think you would have to learn how to "not take your work home" like therapist learn. And I would fill much of my "free" time with the good news, since all you get on media outlets is the bad stuff that is hyped much of the time. Listening to calming music, laughing children or even comedies...that might help take your mind off what is going on "out there".