FFS, you have been told that science and religion are not a priori incompatible! As I told you, we could imagine a universe in which science and (some) religion reached the same conclusions, but that's not the universe we live in. In our universe, science and religion (as mostly understood) reach different conclusions.
Yes, and I've dealt with that point.
If science and religion did indeed reach different conclusions, then religious belief would obviously be an obstacle to being a scientist. Not in an abstract sense, but in a practical sense. If there's an incompatibility, then it would manifest itself in some way.
As it is, we do have examples of genuine incompatibility between certain religious beliefs and science. If someone is a creationist, then it will be a major hindrance for someone working in biology. Indeed, we can see how young-Earth creationist rationalisations have made it almost impossible to combine such beliefs with huge areas of modern science. The damage is manifest and obvious. That's because creationism isn't in conflict with the
working assumptions of science - it's in conflict with the
conclusions of science.
In the referenced article, the author makes it very clear that in no way does he make
any imputation that scientists with a religious belief are worse scientists than the atheists. Isn't that a bit strange? We are asked to accept that there is an incompatibility, and at the same time, that this incompatibility has no manifestation - no measurable effects. It's like
N-rays - if something doesn't make a difference, then how does it actually exist?
As was pointed out in numerous comments on the post, the working assumptions of the religious scientist are exactly the same as those of the atheist - in particular, methodological naturalism. If the catholic biologist didn't think that a virgin birth or resurrection were scientifically impossible, then he wouldn't thing they were miracles! The reason that the catholic biologist is a
good scientist, and the creationist biologist is a
bad scientist, is that the creationist has abandoned methodological naturalism.
When Carroll insists on an incompatibility, he means an incompatibility between religious belief and metaphysical naturalism. He's perfectly entitled to put forward the case for metaphysical naturalism - to say that it is the rational approach to the universe - but he can't claim that it's part of science. If a belief system were part of science, then failing to subscribe to it would mean being a bad scientist. The fact that this does not apply means that the central proposition is rebutted by the facts.
When the definition of science is muddied and blurred in the name of someone's personal beliefs, that's bad science, and should be deplored by everyone - scientists and lay people, believers and atheists.