There is a good way to care and a not so good way to care. Most of us care in a not so good way.
Most of us care what people think about us and worry that they might judge us. What if they think I am bad, ugly, weird, stupid? Whatever it might be we are thinking.
The better way to care is to care about what is going on with people. If even a stranger on a plane or walking down the road looks sadden, I care. My parents taught me to always care for people. No matter what they looked like, smelled like or acted like.