Humans, like all animals are survivors. This makes us inherently selfish and put ourselves and our own families first as it helps us survive.
First of all, there are many human beings who are not inherently selfish. People such as Saint Francis of Assisi, Mother Teresa, and Mahatma Gandhi were not selfish. On the flip side, many people commit suicide, so some people obviously aren't survivors either. In the vast majority of murders, the perpetrator and the victim are family members. So obviously humanity as a whole has no inherent care for family. Some people choose to be selfish, some choose to care only about their families, some choose to care about all of humanity and some choose to care about nothing at all. Given the wide variety of different moral choices that people make, we can easily reject any claim that there is a single moral system "inherent" in all or most of humanity.
The only evil in the world is due to ignorance and false promises from various religious leaders.
Truly? What about atheists such as Stalin, Hitler, Mao, Tito, Fidel Castro, Che Guevara, Slobidan Milosevic, Park Kung Hee, who are responsible for murdering, torturing, and imprisoning millions of innocent people? Are they not evil in your book?
If we all took the time to understand the world and one another then we could achieve true empathy.
True. But everyone I know of who understands the world and his or her fellow human beings turns to God. Off the top of my head, I cannot name very many non-believers who I would expect very much empathy from.
You don't need to think it as evil to not help someone, you can genuinely want to make a difference for no other reason than because you know it is the right thing to do.
In my hometown of Culpeper, VA, there is the Food Closet in St. Stephen's Episcopal Church, the Soup Kitchen in St. Luke's Lutheran Church, the St. Thomas medical clinic and so forth. On the other hand, I cannot recall hearing about the Friedrich Nietzsche Food Closet, where they hand out canned vegetables because it's beyond good and evil. I have never seen the Sigmund Freud Soup Kitchen, where they ladle out soup and lectures about the Oedipus complex. I have never encountered the Richard Dawkins medical clinic where they give free screenings to the poor because it's an evolutionarily stable strategy. Now perhaps these things exist and I missed them; all I can say with certainty is that I've never seen them. Hence I'm hesitant to rely on the generosity of atheists.