I think the problem is, that one is looking for non-materialistic explanations for materialistic problems or observations. This is doomed, as has been shown before countless of times in science, from lightning to grain to water flows, all have had some non-materialistic explanation at some point in the past, but have been rediscovered with a viable and strong materialistic explanation.
This explanation usually fits together in a whole series of explanations, forming a network that seems to support itself and other explanations around it.
So the answer is: At no point whatsoever.
On the other hand, that doesn't make me feel any different about personal beliefs, I don't feel that belief in something non-materialistic automatically changes the way I deal with materialstic topics.