There is no need to treat religion and atheism as polar opposites. Atheism, at least in the west, has considerable overlap with Christian theology on topics like human rights. There is little rationality behind human rights, they can't be measured nor observed. Eg, who, when and how determined that humans have the right to life, but dolphins do not?
"Universal human rights" feels like a more modern wording for "God-given lifestyle". They are beneficial, but also as irrational as any religion before them, and rely on supernatural origin to make them them non-negotiable.