Isn't compatibility symmetric?
A good question! But, in this case, no. We're not talking about mutual compatibility here.
The reason is that science is totally agnostic on the broad topics of religion, namely the existence of omnipotent beings or beings. While it may specifically contradict some tenets of a given faith, science will never claim to provide evidence about non-testable, non-empirical phenomena like the existence or nonexistence of God. It's compatible with religions because it says nothing about their core beliefs.
A religion, however, might turn around and simply dictate that empirical investigation of some phenomenon (human cloning) is wrong and evil, by dictate of the Creator. And science will shrug and say 'okay, whatever, you could be right' - because
if an omnipotent being did exist and
did speak to the members of a certain faith with this message, science has nothing to say about it. There is absolutely nothing that can be done to test the existence of an omnipotent being or to measure its interference in the world.
With luck, however, the scientists in question would ignore the religious people delivering this message, since they have no particular evidence for their hypothesis and never will.
Think of it as matchmaking. If you have one guy who's incredibly open and tolerant to anyone else, and, in his heartbreaking wisdom, sees the inner beauty in everyone, he's compatible with almost any partner, including a mean-spirited, bitter, ornery one. But said partner may not be reciprocally compatible with him because this second partner is jealous, controlling and vile - so mutual compatibility can't be established.
It's a fair semantic point, though, and it may come down to the question of interpretation. I'm more interested, however, in kicking Kosh out of his 'believer' mindset. He's a religious guy, but his religion happens to be atheism - he believes in it the same way Liberator believes in God. Hopefully he can be taught to practice what he preaches by backing up his beliefs with data and self-criticism.
And on that note:
as well as the near total lack of scientific participation in the islamic world are two more recent examples of it.
Kosh, if you want to use this as an example of religion interfering with science, you need to think about it harder.
Take a Google search or two to figure out why Islam can't be the primary factor here. As a hint, start with a review of Islamic history.
When you're done I have a paper for you to read that will help you develop your views on this topic. It's not that you're absolutely wrong, but your thesis that 'religion always impairs science' is insensitive to the actual factors at work. You need to introduce additional variables to control the relationship.