Disagree. Name one religion that doesn't have anti-scientific beliefs. The whole concept of religions is based on believing without asking any questions, which is totally opposite from what science is.
Some of the brightest scientists I know are Christian, and absolutely they use the same methodology to investigate their faith as they do to investigate their work. It took me a little while to realize that, as an atheist, every criticism of their religion I'd come up with to bother them was a criticism they'd been grappling with for about twice as long. There are fanatics and idiots, sure, but assuming those idiots are at the center of every major religion is giving far too much credits to loudmouthed assholes and their blather.
Sure, faith is central to religion as a whole. But the author of the parent post says it's possible for a religious person to also not hold anti-scientific beliefs. Like Christians who believe in evolution and who are generally pro-scientific.
Both sides have evidence for their beliefs, it depends on which evidence you find most compelling.
Science shouldn't be thought of as a noun that you believe in, but as a verb that you do. You don't need to hold a certain belief to be able practice "science" you only need to be able to conduct a repeatable experiment.
A person could believe with all his heart that he is 10,000 year old alien, and still be able to form a testable hypothesis and design and conduct a repeatable experiment. You don't have to be a strict empiricist to realize that empiricism is directly useful in day to day life.
A theist can use the scientific process even if it means working with models he doesn't believe are wholly correct. Just like you can use Newtonian physics even if you realize it isn't a correct explanation of how things really work--because it is a useful model.
so it's impossible to name "a religion" because every person's religion is slightly different. but if you are looking for examples of religions where people are particularly non-prescriptive then the quakers and the unitarians are pretty cool. see, for example, https://en.wikipedia.org/wiki/Unitarian_Universalism - a "free and responsible search for truth and meaning" sounds pretty compatible with science to me....
[disclaimer: i'm an atheist (and have a PhD in SCIENCE). but i can see the advantages of community and even, at one particularly hard point in my life, talked to a bunch (what's the collective noun? vibrational mode?) of quakers to see if they would accept me. and frankly they would accept anyone (you gotta love em ;o), but it just didn't feel right...]