It's not just the Bible. It's virtually every religion and it's probably pre-religious. There's also no reason to assume that animals don't think the same way. It's probably the case that crows, for example, place themselves in a separate category than other animals. That's how they recognize each other, mate, etc.
I think most animals are conscious but a qualitative distinction between humans and animals is very reasonable. Animals didn't land on the moon or discover quantum mechanics. Whatever it is that allowed humans to accomplish things like that is a worthy basis of a distinction.
And are all animals conscious? Amoebas? Virions? Bacteria? I reject panpsychism as going against common sense; I think there probably are very simple (read: small) animals that aren't conscious.