We are not normal if we follow Jesus' directives. We live in a "you scratch my back, I'll scratch yours" world. People do things for others expecting something in return. Jesus tells us to be kind to others without expecting anything in return, including the ungrateful and wicked. For the second time Jesus tells us to "love your enemies." That is definitely not normal.
But Christians are not called to live a normal life. Jesus gives us a new life, one transformed by His Spirit. I can't love my enemies on my own. But God can love them through me. It is better to be "not normal" and follow Jesus than to be normal and follow the crowd.