It takes an understanding of how human society has developed over hundreds of thousands (if not millions) of years.
Even studies of many animal species have demonstrated how many share resources and food, take care of each other and the sick, show compassion, etc.
We had a very sick cat and while he was sick, another cat looked after him and even licked his butt clean - something even the most avid theist wouldn't do for his fellow man.. ;)
It could be that species which have learned to take care of each other have a better chance of surviving and reproducing.
So that explains a human getting a needle shoved in their arm in order to help someone they've never met, a person who may indeed damage society?
Also, couldn't your animal examples point to God as well, that He has established an order that includes mercy? The fact that they're animals doesn't mean their behavior is removed from the Creator, if he exists.
You are right that there is sometimes compassion and care in the animal world. But these are not the same as sacrificial sacrifice .. like dedicating your life to caring for the needy, or giving your life to protect the undeserving.