I disagree very strongly. The basis of most religions is faith. Pure faith, the idea that you should believe something just because someone told you, is the exact opposite of science. So the very roots of the two things you use to understand everything else are contradictory.

Perhaps there is exoscience, but it's not necessarily religion. It's (in part, at least) just the stuff that science hasn't gotten around to covering yet. It will fall into the domain of science once we get to it, if we ever get to it.

But to say that religion has little influence on science is wrong. Creationism, objections to stem cell research, faith healing, Plan B... all of these things get widespread media attention. All cast doubt on science. That affects funding. That affects the directions in which science can be pursued. Then there are laws which prohibit things like human cloning. There's a direct impact.

__________________
"It's turtles all the way down."