Let's get that in context shall we?

In its encounter with Nature, science invariably elicits a sense of reverence and awe. The very act of understanding is a celebration of joining, merging, even if on a very modest scale, with the magnificence of the Cosmos. And the cumulative worldwide build-up of knowledge over time converts science into something only a little short of a trans-national, trans-generational meta-mind.

"Spirit" comes from the Latin word "to breathe." What we breathe is air, which is certainly matter, however thin. Despite usage to the contrary, there is no necessary implication in the word "spiritual" that we are talking of anything other than matter (including the matter of which the brain is made), or anything outside the realm of science. On occasion, I will feel free to use the word. Science is not only compatible with spirituality; it is a profound source of spirituality. When we recognize our place in an immensity of light years and in the passage of ages, when we grasp the intricacy, beauty and subtlety of life, then that soaring feeling, that sense of elation and humility combined, is surely spiritual. So are our emotions in the presence of great art or music or literature, or of acts of exemplary selfless courage such as those of Mohandas Gandhi or Martin Luther King Jr. The notion that science and spirituality are somehow mutually exclusive does a disservice to both.

Carl Sagan - The Demon-Haunted World: Science as a Candle in the Dark (1996)

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For what it's worth, I don't think Science & Spirituality are exclusive either, just that Science and religion are. Spirituality is the unique reserve of each & every one of us, as with our Sexuality. Religion seeks to exploit our Spirituality in the same way pornography exploits our Sexuality. We can be Spiritual without religion, just as we can be Sexual without pornography. In fact we are happier, sexually, spiritually, without either because we all prefer the real thing. But, as Voltaire said:

The first priest was the first rogue who met the first fool.

If there is a Supreme Universal Consciousness (and who am I as one mere mortal caught between two infinities and facing a glad eternity of a joyful infinity to preclude such a possibility?) then it will be nothing like that the all-too human demiurge that has been conceived of by religion. The God I disbelieve in as an Atheist, is the God of religion that people only believe in because of their natural, however so conceited, and subsequently exploited, fear of death.