Of course you're free to disagree.
The words "soul" and "spirit" are archaic, as far as I'm concerned. They're obsolete terms and more importantly, they're needlessly obscure. What exactly do you mean by them? Can you define them with any precision? My guess is no one can, because the connotations depend on a prescientific worldview. Instead of talking about soul and spirit, I'd just talk about mind and consciousness. What else is left over?
You don't have to take my word for this, because it's all up on my blog, but I argue for a nonreductive or noneliminativist view of mind and consciousness. I think those properties emerge and aren't identical with the neural hardware. See, for example, my dialogue with the eliminativist R. Scott Bakker.