I think for a lot of people, myself included, you try not to worry about things you can't control.
"Worrying is like a rocking chair. It gives you something to do, but it doesn't get you anywhere. Write that down." - Van Wilder
Most people also don't worry about whether what they think they have no control over is actually true.
Rocking chair is better than worrying, because rocking chair at least calms your anxiety.
While this apathy is an important coping mechanism to some degree, it's important not to become complacent. It's precisely this apathy and hopelessness that authoritarian regimes cultivate to prevent action.