In my world view sprituality and religion are mutually exclusive. Of course my definition of spirituality would be fundmentally different that what is commonly understood.
Therefore I consider spirituality and science as mutually inclusive, POTENTIALLY.
A concept of spirituality, difficult to put into words, would consist of identifying that state of mind that would be the total opposite of that state of mind that causes psychosomatic illness.
Answer the question: are emotional reactions totally under our control, a result of choice? Or not?
Some may object that I am confusing biological/chemical operations of the mind (with the body following along) with what religions' might term as "states of grace". My point is that I am not confusing anything at all, that the phrase "state of grace" only became the latest term for an ability homo sapeins had long before religous descriptions were bandied about.
BTW, one might consider the game chess as a test of spirituality.