Although I'm Christian, I'm going to try to see this situation from both sides.
Alright, so the first example of religion coexisting with science is the Big Bang. I do believe that a Big Bang happened, and that it created the universe. However, what was there before it? I know that there's plenty of theories out there, but just like religion, it's hard to prove things to happened so long ago. The Big Bang could have been God, or some other religious being, creating the world.
The second way in which religion and science can coexist is evolution. I also believe in evolution, but also in God putting everything on Earth. He could have created things on Earth and let them become new kinds of species as time went by. The Bible says God created the Earth in its entirety in 7 days (including the day of rest), but the "7 days" hypothesis is probably not true. The Bible was written so long ago, and it's hard to truly know what people meant or what actually happened through recordings of history.
For the idea that life exists elsewhere in the universe is still a mystery to me. If God created the universe, then he must of surely created the other lifeforms that dwell across it. Even if there is no mention of life forms outside of Earth (or Heaven / Hell, I guess) in the Bible, there is most likely life somewhere out there. Going back to the bible being so old, it's hard to get the truth from a book that was written so long ago. I'm sure that trying to translate the messages from prophets and the like didn't always work either. Ever play that Telephone game in elementary school? It's kind of like that. I'm positive stories and tales changed dramatically over the course of time through word of mouth and wrong translations.
I'm not saying that other ideas are false. I'm just trying to point out that there's some ways in which religion and science are hand in hand, and how it's just another hypothesis. I'm also trying to shine some light on this idea, showing people that you can't be so close-minded. Trust me, both sides can be stubborn. It's hard to have a conversation with fellow churchgoers and have them go, "Evolution? Pffft. That's bull."
I'm sure I'm going to get flamed, trolled, and ridiculed, not to mention being proven wrong in every way possible.That's what happens when you try to make sense in such controversial topics like this. Thanks for taking the time in reading this.