This dualism is unhelpful. You are the animal. You aren't a thing inside of yourself. Yes, sometimes your mind can be sharp and your body tired, but at the end of the day, you are the unity created by the synthesis, not some disembodied force.

The worst thing about dualism is that people who think of themselves as not religious do it unreflectively, whereas when religious people do it, at least it's on the table as something up for debate.