Everyone feels that way, but people hold different perspectives when they scrutinize exactly what that means and how it would work.

There is no evidence of souls existing, they are unable to be measured in any way. Unless they have several magical rules and violate physics (but only sometimes and are still somehow undetectable), then your brain would still have all those same thoughts about how it feels strongly about having a soul, because that's part of how the ego hard-coded into your brain works.

I don't particularly like the view you're espousing, not only because its inconsistent without explanation but because it creates a group of "others" where those with a different philosophical viewpoint are now literally "unfeeling robots" to you.