hightor wrote:"Wherever you find human beings, you find religion."
... Sure, and you find unbelievers everywhere as well. So doubt could have just as important role to play in evolution.
"Wherever you find human beings, you find mistakes."
...Science is predicated on finding and correcting mistakes; this is called the "scientific method". Religious claims are often based on "revealed truth" -- when religious people mouth these axioms but behave differently in actual life we have an example of "hypocrisy".
"In every human endeavor, you have experts."
...In the medical examples provided, the real experts are the scientists who discovered the viruses and bacteria which cause disease. Follow their advice and you won't contract AIDS either. Any knowledge which priests have other than "theological trivia" is derived from practical experience and education and is not the sole possession of the religiously inclined.
Religious authorities were giving their advice
before AIDS appeared. Humanists, atheists, etc., gave their advice only after scientists told them what the proximate causes of AIDS are. They were -- too late. And the advice they give (don't share needles, use a condom) is not as effective as abstention from drugs and extra-marital sex.
Scientists, as scientists, don't give advice. They seek the clear expression in mathematics of physical laws and make predictions based on them. Some scientists are religious. Some aren't.
It's a mistake to believe that religions don't change in response to perceived mistakes. They do it all the time on small matters and even on very important ones. The Mormons changed their views on race. The Amish steadily allow more use of technology. The Catholics stopped selling indulgences. When a religion refuses to adapt, adherents begin to doubt, then leave, and the religion dies.
Almost everyone has values, even humanists and atheists, but values lie outside the domain of science. They lie in the domain of philosophy and religion.