Okay, let's give it a try.
I'll have little time starting from today to... well I don't really know. My wife is having our third installment of little homo sapiens downloaded to our little home probably tomorrow, and so... well, it will be hell on earth for a few days, until we domesticate and comfort the little chap in this novel but non-teleological world he will be thrown into

.
So, after unexcusably starting with the cheapest of excuses, I'll try to make a succint argument for the motion that science and religion are fundamentally incompatible. If I fail to impress anyone with it, it's evidently your fault

. (for fox news channell... that was a joke)
Now let's start with some definitions.
Iff* we define religion as the human activity where we place the meaning and reason of our lifes inside the metaphysical realm, in any shape or form, usually but not necessarily sourced in the mind of god and transmitted to humans by subjective revelation;
If by "subjective revelation" we mean that "religion experiences" are personal and revealed into the consciousness of the believers without any kind of empirical phenomena actually attached to it;
Iff we define science as the human dialogue about what knowledge can be shared of the empirical universe, by supressing our subjectivity the best we can (Feynman:
Science is what we have learned about how not to fool ourselves about the way the world is)
We can also (or should also be able to) say that:
1) science is tendentially an
objective conversation, while religion is tendentially a
subjective conversation;
2) science is descriptive while religion is awkwardly normative (we could discuss the "awkwardly" in another life);
3) science provides a picture of the universe that is wildly impersonal and un-human, while religion provides a centrally human oriented picture of the world (what the universe wants to tell you and guide you to, etc.);
4) science is investigatorial while religion is revelation;
We can conclude that:
a) Science will always create a conflicting picture of the universe with the religious one every time we further advance on the limits of its inquiry, for the personal will be substituted with the unpersonal and meaningless.
Examples: The earth is not the center of the universe; Our solar system is not the center of the galaxy; Earth is not the center of the solar system; Life is not miraculous, but the design of chance and environmental pressures; Magical thinking substituted by mechanical thinking; The big bang as the direct result of M theory and not a personal will; The abandonement of the absolute morality theory in ethics and in practice; Neuroscientifical detailed findings about how the self is built upon the matter inside the skull.
b) If scientific picture is, by the result of its own non-subjective process, always finding out a purposeless answer for all the phenomena, and if religion is, by the result of its own nature, always teaching us that *everything has a purpose*, then they will always disagree on what is left to find out about the universe and ourselves, and thus will
inform their practitioners different attitudes about the yet to be seen (which is indistinguishable from the unseen) .
Examples: Earth can not be but the center of the earth; earth must not orbit the sun; life is meaningful thus not a product of chance; mathematics comes from the divine; the universe was banged from the divine will; consciousness is divine; free will exists; afterlife is heaven and hell; the universe is moral.
c) If scientific attitude is tendentially unbiased and investigatorial, religion attitude is faith-based and authoritative. Revelation was refuted by Hume if you take it in a rational way, thus it can only work if you
trust the hearsay, and mostly due to the "authority" of religions hierarchies and / or your favorite theologians' words.
If by faith we substitute "unjustified prejudice", we can see that this is not a good thinking process if you want to do science.
d) Metaphysical proclamations are both legion (infinite in its possibilities) and most of them incompatible between themselves. We can imagine a brain in a vat like we can souls in a celestial court. Metaphysical knowledge is a trick that has fooled mankind for too long, like those equations that never end until you realise that you'll never resolve X due to the way the equation is built, and you keep having self-consistent results without reaching any more closer to the answer you seek than when you began.
Thus, exactly like getting yourself stuck in an equation impossible to resolve, you'll just waste your time with metaphysical thought. There is an infinite number of examples of amazing geniuses in the past who wasted their time with these shenanigans, rather than solving the world's problems.
d 1) Metaphysics is still polluting science as a result of the religious thinking. Many scientists are still realists and / or materialists. Many still think that concepts like "time", "space", "energy", etc., are Real. Many still believe they can speak for Reality (thus ending up making the mistake of turning science into religion). One of the results of this situation is the sheer recent lackluster performance of science, with most (yeah, most) peer-reviewed papers being statistical rubbish, groupthinking and tribalism permeating in journal editorial fightings, and an all-too pervasive hubris in many scientific fields.
Concluding, I think that religious thought, the
religious discourse is an enemy of the
scientific discourse. From the way of thinking, through their predictions, their views towards the centralism of mankind and their psychological products, they couldn't be more different. If we allow ourselves to hold both discourses, we will only avoid conflict if we compartimentalize them. If we do not, however, short circuits will follow, and neurons will die due to mental havoc. Either way, they are incompatible.
Which does not mean, however, that they
should not be held by people. We are apes, and we can't stop being so.
*don't confuse "Iff" by "if", it means "if and only if"