Doesn't a decision have to be made that science and religion are two completely isolated and separate fields. That is not necessarily the natural order of things although that seems to be how things are in today's world.
If science insists that it is completely separate, then all that you have written is correct. Even there, much of today's science seems to be intruding into religion and doing so mainly to invalidate the underpinnings of religion. Religion will then fire back. The best example of this is the dispute over whether "intelligent design" is present in this universe and whether it had anything to do with it's origin.
Pitting "intelligent design" versus "evolution" is ridiculous to me. Obviously, those two terms are not mutually exclusive. If there is intelligent design, then the design could include evolution within it. It's not necessarily an either / or problem.
Good points about the differences between science and math. I just threw the math in to illustrate how things could be different than what science is stating.