I find the comparison between
science and religion as rivals rather than different fields to be of little value. For many people, religion fulfills the search for purpose and meaning in ways that science doesn't deal with, and science aids in survival in various ways that religion doesn't. Scripture doesn't talk about black holes or neutron stars like science does, and science doesn't talk about deities, prayer, reincarnation, or theological concepts like religion does.
Sometimes the two fields overlap, but that's not usually the case. For instance, the interpretation of the Bible that says humans were created in their current form by God contradicts established scientific facts, so this is an area where said interpretation could be compared to science as a rival rather than a different field.
But on the whole, it seems to me that religion and science serve different functions. You can be sure I won't be seeing an imam or a priest to seek treatment next time I have a fever, just as I can be sure that you won't be going to a doctor or a pharmacy next time you want to pray or learn about religion.