No values are completely universal. As I understand it, humans have socially evolved to hold to in group and out group distinctions. The rule of reciprocity is fundamental to in group social cohesion and predates Christianity as demonstrated below. Your claims are not substantiated by history and are religious dogma. 
Discussion
https://en.m.wikipedia.org/wiki/Empathy
Read the sections on “Development” and “Genetics”
Just because they can be found many places doesn't make them non-religious. The cultures that tried to do away with religion also lost common goodness, implying the two are linked.