Some people do this. And I'm guilty of having been one of them. But I realized that the constant negative news cycle started to shape my outlook on the world around me.
Earlier this year I decided that the cycle of indulging in consumption of (usually negative) news, worrying about it, and then repeating is a waste of time and probably takes away from who I am rather than adding anything of real value. I don't check Twitter, I trying to avoid Facebook. I don't even watch my favorite late night talk show hosts (sorry Colbert). I've replaced them with audiobooks and podcasts.
I am significantly happier for it. And minor anxieties I had that were unrelated to current events seem to have gone away too.