Sorry empathy makes one more compassionate and understanding and it does not help if one is struggling to compete to survive.Empathy makes social creatures more fit. Fitness in an evolutionary context only means reproducing the most (which you have to be alive to do) and nothing else.
I don't know about how other religion's beliefs translate into chartiable acts. I also don't know how accurate it is to equate what secular organization's like the Red Cross does with Christian morality. Christians have also been in a position to help others for the longest, so that may explain why their charity organizations are the oldest.
Go to your local sports club and ask the winner of a game, ' how does empathy help you win?'
Charities in the west arose out of Christian compassion.
Atheists in the west are compassionate because of the remains of Christian influence.
I have been going on about the fact that religion teaches we should be compassionate.
Atheist says nothing about morality, and evolution is about doing what ever it takes to survive.
A compassionate atheist, while he is a nice person is also not living according to what he believes.