Science has a huge list of things it has explained and when applied in the real world through experimentation and technology, they all seem to work. When they don't work, science tends not to say it's explained. Religion, on the other hand, has never produced a single applicable explanation for anything. Maybe they aren't mutually exclusive, but that's not the point. If you want to believe they can share explanations of the world, it still seems that all the observable and demonstrable explanations we have are one sided. Where is religion's contribution?
Religion's contribution is spiritual, thus not observable/demonstrable. Apples and oranges. They are two completely different aspects of the human experience.