Well argued! The soul or consciousness is not the brain. My own metaphor is an electro-magnet. The magnetic field is not iron, the magnet is not a field, though there is an absolute dependence of field upon electrical current and iron. I agree that the soul is not immortal, in itself. But there is a lot of evidence, anecdotal of course, that suggests some survivl of the soul after death, at least for a time. What NDEs are I have no idea, but they are not just the ideations of dying brains, though that may be part of the E.

Christian belief is in the resurrection, not the immortal soul. They are not at all compatible.