One big dispute between the two is- how did we get here? Science and religion come up with completely opposing views, you can't support both ideas at the same time without being a hypocrite.Does considering that this is not a religious question make one a hypocrite?
At some point, "will it rain this week?" was probably considered a "religious" question. I don't think "religion" lost anything by giving up that one to meteorology. On the contrary it became more "religious" -- or "spiritual," if you prefer.
I don't see how it makes one a hypocrite not to give any credibilty to an invisible man in the sky when thinking of how we got here. We may aswell add fairies, unicorns, men from mars or Ra the Sun God to the many things we must think about when wondering how we arrived here, for there is just as much proof for them.
I'm not sure how something becomes more religious or spiritual if you find out there isn't a God behind it, but a rational scientific explanation, as a belief in God is the basis of the kind of religion we're talking about here.