You said that evidence and proof must be examined using the scientific method. That's like asking the Mafia to investigate themselves and report their findings to the FBI and CIA
What, specifically, is wrong with the scientific method? Let's go over what it actually is, shall we?
1. Make observations, trying to find patterns.
2. Try to come up with a hypothesis to explain the observed patterns.
3. Use that hypothesis to predict a *new* observation. If possible, it should be something that competing hypotheses disagree with.
4. Do the observation in question.
5. if the answer agrees with what the hypothesis predicted, go to 3.
6. if the observation does NOT agree with the prediction, modify the hypothesis or discard it. Go to 1.
This could work even if there was a supernatural: the same process could apply.
Next, once a hypothesis has passed this test multiple times in many different scenarios, and all other hypothesis either explain less or explain less accurately, the hypothesis is elevated to being our 'best guess'. We then look for more general hypotheses that work in more cases, attempting to generalize our understanding.
When we get hypotheses that are very broad and have been extensively tested, we call them natural laws. We *still* allow that we could be wrong, but any new hypothesis has to explain more or explain the observations more accurately.
So, what is wrong with this? It admits we could be wrong. In fact, it actively LOOKS for places where we are wrong. Only after being right even in those cases, is the hypothesis considered to be valid and even then only until some new observation shows it to be wrong.