There are many sources of spirituality; religion may be the most common, but it is by no means the only. Anything that generates a sense of awe may be a source of spirituality. Science does this in spades.

...evolution is not a religious tenet, to which one swears allegiance or belief as a matter of faith.. It is a factual reality of the empirical world. Just as one would not say 'I believe in gravity," one should not proclaim 'I believe in evolution.

Believers can have both religion and science as long as there is no attempt to make A non-A, to make reality unreal, to turn naturalism into supernaturalism. (125)

Evolution provides a scientific foundation for the core values shared by most Christians and conservatives, and by accepting–and embracing–the theory of evolution, Christians and conservatives strengthen their religion, their politics, and science itself. The conflict between science and religion is senseless. It is based on fears and misunderstandings rather than on facts and moral wisdom. (138)

Scientific prayer makes God a celestial lab rat, leading to bad science and worse religion.

Science is a set of methods designed to describe and interpret observed or inferred phenomenon, past or present, and aimed at building a testable body of knowledge open to rejection or confirmation.

Remember always that we are pattern-seeking primates who are especially adept at finding patterns with emotional meaning.