I'm sure religious folks often have special experiences they take as supporting their religious beliefs. But if they had grown up in nonreligious households, they'd have similar revelatory experiences as adults and they'd interpret them as peak states of consciousness, as sublime appreciations of nature or of art. They'd have the same types of epiphanies but in a secular context.

We interpret our experience based largely on our upbringing which establishes much of our personal identity. So the experience itself confirms little since it has to be interpreted, which depends on prior experience.