I think an interview with Bill Storr would be very timely. His book - Skeptics (incidentally) - talks about how we form points of view and how we process information in this light. And many more. The book is an artful mix of deeply personal and scientific.
As to the mainstream (or other) science, it doesn't work on the rational template that we can imagine - the debate of the sides, eventually coming to the most reasonable conclusion. It is run by humans with ambitions and vulnerabilities, so it's no surprise it gets ugly quite often. The main reason is not that those opposing new ideas are inherently bad people or are conspirators trying to conceal the Truth. Sure, in some instances scientists defend their positions because new views undermine the foundation of their careers, but these instances are, in my opinion, rare. Neuroscience will not be thrown out of the window if someone proves that consciousness is external to the brain: the findings of fMRIs will still be valid, just will have to be incorporated into the new paradigm. Which, incidentally, will open scores of lines of research and career opportunities.
After reading about NDE I admit that there are aspects that cannot be explained based on the current idea of consciousness being generated by the brain. However, at this stage the evidence I have come across is, to use the police lingo, circumstantial. In order to get serious attention extraordinary phenomena need solid verification. I am not saying that testimonies of medical staff are worthless, but in order to change current views evidence needs to be very strong. That's why Parnia - the guy who is up to his neck in practical medicine - designed AWARE with pictures around the ward. It may not be an ideal way to verify OBEs, but I understand why he is trying: report of someone seeing a picture nobody else can during NDE constitutes very strong evidence for the phenomenon because it excludes everything else as an explanation.
If anything, debating on this forum made me find out a few things about myself, along the lines laid out in Storr's book. I don't believe consciousness is confined to the brain, and so should be quite accepting to the idea that NDEs are non-physical in origin. However, when it comes to discussing medical facts I cannot turn away from the meticulous and detailed way I was taught and was practicing medicine for three decades. It's like and architect arguing with the building engineer: the former will talk about ideas and concepts, while the latter will concentrate on how to make sure the roof doesn't fall down. I have been up most of the night, so this post is not terribly coherent, but that's just another side of being human.
Anyway, whatever the truth is, if it's comprehensible it will come out. Science is a tool, and if you have a hammer in your hand everything around looks like a nail. And so there are numerous people with hammers running around and breaking shit until someone comes along and pulls out a screwdriver, and the thing turns out to be a screw. And it will take a while to realise that it is both a nail and a screw, and also a piece of music. Go figure.