If you let sensationalized news stories dominate your worldview, you will give in to apathy. If your strongest moral convictions are about events you cannot influence, redirect those convictions to something that is inside your locus of control.
What I urge people is: be conscientious in your day-to-day tasks. If you can see your efforts contributing to people's happiness, the apathy will disappear. Society is built of individuals; if these bricks do not care for the health of the structure, it will sag or collapse.