I don't really agree OP, I know a lot of scientists and medics who are deeply religious. I also don't think the two things are completely opposed.
I grew up in a religious household, became very angry when I realised that the things the adults around me had been teaching me weren't proveably true without a 'this is what I believe' caveat and became staunchly atheist. I was just so hurt that someone could tell me, for example, I was going to see by beloved and terribly missed granny in heaven without being sure beyond doubt, because I was truly crushed when I found out that wasn't certain.
However, I've changed again as I've got older and started to feel as though my worldview was missing a component. I did a lot of research into all kind of faith systems and none really resonated with me- in the end, I ended up reading about biocentrism and that made sense to me.
I now have a very loose belief system that we all have consciousness that is distinct from our body (as in, beyond just the functions of the brain.) I think that may endure beyond death, although I have no idea what would entail and don't feel like I need to know- although I spend a lot of time meditating on what the nature of it might be because I find it fascinating. Reincarnation feels possible to me, but I have no certainty. I don't believe in God- more a higher consciousness, or a collective consciousness, that's probably as flawed as we are- hence an imperfect world.
Generally, it comes from my own subjective experience of being 'me' and that there is something beyond the processes going on in my brain that makes me 'me.'
To me, believing in that just seems like common sense because I've experienced it. That doesn't mean that I think somebody who doesn't believe the same lacks common sense, because their inner experiences might be totally different from mine.
I agree with PP that to be dismissive of others' beliefs fails to really engage with how they've experienced faith or arrived at their beliefs. And it's extremely difficult to articulate how you experience faith- I've just attempted to articulate my (admittedly unusual) beliefs and I'm aware I've done a shit job!