1. Most skeptics live self-centered, not others-centered lives.
That's preposterous. In America, politicized Christianity is very self-centered. The church works incessantly to impose its religious values on the society at large, including non-Christians. It's idea of religious freedom is religious freedom for some Christians, and the rest of Americans be damned.
It's known as Christian exceptionalism, or a sense of Christian privilege. It rears its ugly head at Christmastime, when if a Christian puts up a billboard promoting Christianity, it's a beautiful and wholesome thing, but if a billboard celebrating reason over faith goes up beside it, there is outrage and vandalism.
It's the secular humanists, who are generally politically liberal, that are focusing their attention outward at children LGBT issues, women's reproductive rights, racial equality, economic and education opportunity, access to affordable health care and the like. Christians tend to vote with the Republicans, who are all about concentrating wealth, power, and privilege.
2. I go beyond all this to love my enemies. Skeptics (sometimes) forgive their enemies, but NEVER love them, a supernatural quality!
You keep saying this even as you continually slander atheists as you are again in this post. This is just you virtue signalling - trying to appear virtuous with words.
Recommending loving enemies is foolish advice. An enemy is a person who has harmed you, or wants to harm you. It's foolish to embrace such a person. Doing so is not a virtue. It's a mistake.
The most an enemy can hope for is that you don't seek revenge. The best thing one can do regarding an enemy is separate oneself from that enemy, and not carry a grudge.
One skill necessary to a life well lived is to be a good judge of people and surround yourself with the best of them - those who are reliable, honorable, considerate, kind, wise, and the like, nor whatever it is you mean by loving enemies - a concept you have steadfastly refused to define or illustrate in the past when asked. I asked you what you do with enemies that you are calling love and now are calling a supernatural quality, but you declined to answer. so I assumed that had nothing.
Let's see how you respond this time. What is it that you claim to do with enemies that a non-Christian doesn't do that you consider loving, and why is that a virtue?