In the physical world, people rely on science as the basis of truth. Observation, hypothesizing, experimentation, and conclusion are necessary steps on finding what the truth is. Since God is immaterial, hence, He cannot be observed. Since there are no remnants of any credible divine artifacts, no definite experimentation can be conducted. Hence the statement that what cannot be observed is hard to believe, less regarded as the truth.
This is exactly my view. It can be simply translated as: "There isn't and never will be any scientific way to prove God's existence."
Going back to the main question of the thread, I would like to point out that aside from Science and Religion being pit constantly, humans also choose the battle arena. For example, people put Religion in the logical physical realm. Of course, in this battle, Science has the upper hand. And likewise, they put Science in the realm of the metaphysical (meta means beyond), a place where Science can never step into. It's like pitting a bird against a fish, but you have to choose if they will fight in the sky or under the sea.
In my opinion, Science and Religion need not to clash. Each of them has her own territory. Science questions "how", and Religion questions "why". I don't see any conflict there.
The debate is ignited when Religion steps into Science's territory (I have not yet encountered any major issues that involves Science stepping into the Why Realm). Let us not deny it, even in this message board alone, there are still people who believe that The Seven Days of Creation, Adam and Eve, Noah's Ark, and other Biblical stories actually happened LITERALLY, AS IT WAS WRITTEN. Now when scientists attacks those, believers retaliate. Typical. But really, who was the first one who tried to go beyond her territory?