What we call science today is a formalization of what humans have been doing for tens of thousands of years: looking for patterns and relationships in cause and effect. The very act of making the first wheel, paper out of papyrus thousands of years before the lumber industry, or a calendar by looking at the stars is an act of scientific exploration that probes not just the natural world, but how we discover what the natural world really is. Over time that methodology has included into our cultural knowledge things like gravity and horticulture while excluding things like rain dances and homeopathic medicine.
In the end, you either accept the rigor and structure on knowledge and certainty developed by science and the scientific method (which, by the way, created modern civilization as you see it today) or you don't. If you accept it, religion by its very definition (supernatural and all that) conflicts with science. If you don't, then there is a basic difference in core assumptions and there really is no argument.