Sigh.. The high school science teacher (preacher) does not have to prove anything- just dictate from the book. The students (parishioners) have to learn it and accept it in order to get a passing grade and graduate. It all revolves around trusting that what someone else says is true. How is this no different?
And no, the scientific method doesn't make any difference to those who have no ability to check it. You are basically saying that because others will also say it is true, you will believe it to be true. But then we are bombarded with articles about scientific journals printing improper materials and groups of people conspiring to taint peer review. But you trust is it all true. NASA has basically lost the magical incantations to build a Saturn V rocket and yet you can prove it wrong.
Yes, some people, somewhere, might end up with enough knowledge and resources to test something. People also claim to be told to do things by God, to see miracles, that their success is because of a God. For the vast majority of people, there is no difference in mental process. You have faith in science, people have faith in religion, some people have both because they are both tools and used for different purposes.