Generally I ascribe to the philosophy that religion and science, properly expressed, are different sides of the same coin. Each attempting to explain and illuminate human experience and perception, one quantifiable, the other not. A spiritual experience is not any more or less "real" to the individual than some law of nature, at least insofar as it happened and was perceived.
Each facet of human experience should work in tandem, emboldening and strenthenong the other. Any conflict between the two is a lack of knowledge or understanding about one, the other, or both.