As a way to ease my depression I stopped listening to the news in the car going to work. One, it made me feel less bad about the state of the world and two, the silence was soothing. Now, I hardly follow the news at all. And, like you say, it makes very little difference.
I usually have it on for the traffic and weather in the morning as I drink my coffee catch up on FABO before work. I don't pay much heed to most of it. I try to glean out the 'facts', but that's not easy when they make entire stories without any.