IMHO, nothing to explain. Religion and science are different categories we use to explain things we don't understand. These categories reside in our heads, to explain reality, which also exists, wait for it, IN OUR HEADS.
Religion and science are different ways of thinking about the world - all credit to Dorothy Rowe and her amazing book 'Why we Lie' -
Therefore, if an archbishop and an atheist take a walk through some botanical garden, the archbishop will see the wonders of creation and the atheist will see the evidence for evolution.
One is not better or worse than the other - religion requires faith, science requires proof. Example: To find out HOW a person died, we use science, to find out WHY people die, you need to use faith. Most people use aspects of both systems to construct their worldview. When we feel our world view is threatened, we launch attacks and criticisms on those who do not share it. There you have it! (AH, PROBABLY NOT!)
Just my 2c. Very interesting discussion!