I am trying to think of a way Taoism is incompatible with science, and am coming up short.
Coming up next, a 58 page debate on the definitions and distinctions between religion and philosophy. Woo hoo!
ETA: Or Discordianism. All hail Eris.
Where science and religion deal with entirely different matters, they are compatible. When they deal with the same thing in different ways, they are incompatible.
So, when a religion has as a precept that the Earth is six thousand years old, that's incompatible with science, which has shown, through evidence that this is not the case. It's certainly possible to have areas of incompatibility.
It's also true that there are areas which science does not, and cannot deal with. If religion addresses these areas - morality, purpose, and so on - then there cannot be any incompatibility with science.
There may also be areas where science doesn't, as yet, have anything to say about a subject. It might be that in the future science will be able to produce evidence and theories, but in the meantime, if science doesn't impinge on an area, then the conflict doesn't exist.
So, obviously, the claim that there is inherent, inevitable conflict between science and religion doesn't stand up - the above counter-example of Taoism being one that's obvious.
What is being put forward under the guise of science is in fact the pseudo-scientific science-as-moral-arbiter agenda. This is
not science - it's shoddy philosophy rife with unstated assumptions, tailored to fit the materialist who doesn't want to accept the implications of his belief system.