This is exactly what I think. Spirituality and science are not incompatible, as they are after different things. Science is searching for the best models that allow us to best describe and predict the universe around us. Spirituality is after the "why," at base.
Religion, to me, is a subset of spirituality that depends too greatly on rules and assertions, the latter of which fly directly in the face of empirical evidence and the former of which have no intrinsic logic but, rather, depend on belief in an unproveable superior entity that imposes the arbitrary rules upon us.
I'm not a fan of organized religion, but I am fine with, and even respect, personal spiritual investigations.