How do know that the laws of physics exist?
A scientist might say' through observation'.
But have you actually seen the process of evolution with your own eyes? Have you seen the force of gravity?
How do we know that God exists?
A theologist might say 'through observation'.
But did you see the creation of the Earth with your own eyes? Have you seen angels?
How do we know that anything exists?
There's no absolute way to know that the universe around you is real. Both science and religion are built on axioms that we assume to be true, such as (respectively):
An object in motion will stay in motion, and an object at rest will stay at rest.
God is infinite.
Matter cannot be created or destroyed.
The universe was created by divine power.
But you can't know that God is good or that if A=B, then B=A other than through speculation. At most, you can use your own flawed physical senses to make observations about the universe, but our senses are really just there to organize input information in a way that we can understand and give us something that is far from an objective observation.
You might argue that science is based more on direct observation than religion. This is not necessarily true.
Let's say that I know nothing of science or theology (which is fairly close to reality, anyways). I see a girl standing in a field, and she is struck by lightning. Seeing this, I might think, "Hmm. I was not struck by lightning. Why? Well, I think that I am a good person. People I know the me that I am a good man. Maybe she is a bad person, and that is why she was struck by lightning."
Or, I might think, "Hmm. I was not struck by lightning. Why? Well, that girl was standing in a field. I am standing under a tree. Maybe she was struck by lightning because she is out in the open."
Perhaps not the greatest example, but I think that it can be applied to most things upon which religious and scientific minds have disagreed. The point is: not only are observations flawed, but any two people could reach totally different conclusions from the same observations.
So, back to the question asked by the thread starter. Are science and religion in conflict? Another way to phrase it would be, Can the basic axioms of science be true if the axioms of religion are as well?
The question seems to assume that there is absolute, objective truth which humans can access; but truth appears to be entirely subjective-- or, if not, we have no way of being certain that we can access the absolute truth. Reality is an personal experience. Therefore, my answer to the thread starter would be that they are only in conflict if you think they are.
(Personally, I believe in science, because it seems to be a more detailed and accurate model of reality.)