Asklemmy

It isn't like religion is incompatible with logic and science.

There are some religions that require rejecting science, and some that require blind faith, but it isn't all throbs religions, and it isn't inherent to religion itself.

The only time it takes any mental gymnastics is when the religion does reject science as a methodology (as opposed to rejecting blind faith in science) and/or require that each follower must agree to reject it as well.

Something like neopaganism isn't as prone to excluding science as methodology, and berry very often supports science as a body of knowledge, but focuses on the parts of life that science doesn't cover. It happens still, and some of the zealots from those religions can be just as crazy as zealots from something like christianity. But, on average, your typical Wiccans aren't going to be science haters, they're just more interested in other things.

Now, you will get a lot of those sorts choosing to reject science based information on specific things, but that's no more or less than when your average agnostic or atheist buys into pseudoscience. That means it isn't really a religion thing, it's a human thing.

You'll find plenty of monotheists in science even, and they're not conflicted because science, logic is about the concrete, the physical world. They can freely choose to lol are their holy texts as humanly made, but divinely inspired, and thus a product of its time. So there's no conflict. The scientific method simply explores the world as it is, seeking a better understanding of what their god created, without worrying about the why.

There doesn't even have to be a conflict in the Abrahamic sects between evolution and creation. If the specific sect and follower assumes that god is all powerful and all knowing, them evolution is simply the will of god as it expresses itself over time. Or, that god created a universe that is meant to grow and change independently, and thus evolution was part of that creation from the beginning.

As much as religious thought can be a limitation to thinking, it doesn't have to be. They just have to accept that the religious stuff is about the soul, and that souls aren't relevant to logic or science. When that way of thinking is in place, it's possible to logically know that no religion can be proven any more than the existence of the divine can be disproven, so it simply isn't relevant to science at all.

Fwiw, I'm not religious. The closest I get is an appreciation of Buddhist principles, and taoist outlook on viewing reality. They're "fun", they give a platform to work from in dealing with the unpleasant aspects of existence, so they have value. But that's not the same as being religious, or even "spiritual". Plus, when the topic of religion comes up, I can throw those out there as shorthand for "I'm not interested in your religion becoming my religion, thank you."