Proof of Heaven? Maybe not...

[Angrboda]

After getting run down by a car when I was seven years old, I thought for sure that I had an out-of-body experience. But just because I thought I was seeing myself from across the street as I stood back up in an agitated state, does that make the event true?

Not at all, which you'd think a neurologist would understand.

I'm starting to wonder, however, if the shadiness of his actions and portrayal of the evidence aren't indicative of this whole charade being a scam, and he's not actually a true believer in his experience.

I believe Dr. Alexander is a neurosurgeon, not a neurologist. (I missed that in the OP; I should have caught that. And it's not clear how much time he spends at the operating table as he appears to have spent the bulk of his career teaching.)