I too do not believe in "science vs. religion". However, I will not go to the extent of saying that these are totally unrelated.
Apparently, focus of scientific studies is measurable objects of mind-senses and apparently focus of religion is on the source/creator of the objects. But, IMO, both kinds of endeavours have one aspect in common, human motivation.
Again, apparently, all humans have needs for achievement/power/affiliation. But beneath these three needs, there is the fundamental common need to be free of pain, to be free of discomfort. No one does anything to be unhappy.
In this regard, I do not hesitate to state, that eventually it is religion that provides better means towards those attainments that every human seeks, albeit unknowingly. Religion provides wisdom that helps to mitigate damaging effects of raging ego. Religion, if properly and patiently pursued, can provide succour that science may not provide.
There is inevitableness of fall of ego and final death. Religion prepares a person much better by teaching about emptiness of all achievements that ego self clings to.
Scientific solutions, although developed through man's inherent gifts, usually ignores those very inherent gifts, and relies on external assistance. All extrnal objects and situations are however ephemeral. Most religious processes, on the other hand, rely on man's inherent gifts to obtain peace and succour. Prayer, mediation, yoga all work on self with self. And these methods do help in affairs of human mind that really matter.