For what it's worth, I've always seen Science and Religion as being about different things, and the so-called 'conflict' between them mostly a symptom of people who want to consider them to be about the same thing and subsequently misapply one or both. Science is about the world and causality, and Religion is about values and volition.
Or, Science can help us figure out how to achieve what we value, and Religion can help us determine what it is that we value.
Neither practice considers those things to be their primary purpose - scientists are conducting pure inquiry about how the universe works, and religion is about philosophy, or devotion, or teaching, or stories to demonstrate exemplars of, a set of values and beliefs, in an effort to align us with greater purpose. But those two things - how to achieve what we value and determining what it is that we value - are questions that firmly belong to one and not the other.
Pure logic is the most powerful tool of science, but will never give anyone any reason to do or refuse to do anything. Logic may tell you that you will starve to death if you don't eat, or that if you put a bullet through someone's heart they will die, but there is no logic that says life has intrinsic value. You have to accept the idea that life has value - an idea taught in almost all religious practice - before logical reasoning from that point will tell you that you should not do those things.