(1) To learn about and discuss approaches to the mind-body problem. To discuss how these various approaches might change the way we think about other domains.
For example, panpsychism is one approach to the MBP. If panpsychism is true, what does that mean for physics, biology, psychology, ufology, or the paranormal?
(2) Oh, yes. When I first began participating in this discussion, I approached the problem of consciousness as an epistemic problem. That is, just like any other problem/question we have in physics. I now recognize—thanks to @smcder—that in order to fully explain consciousness, we will need to resolve the MBP and all that is entails.
(3) When I began participating in this discussion, I had a sense that the mind was not made of physical matter like, say, a table. I conceived of the mind as a dynamic pattern created by the brain. But again thanks to Smcder, I was introduced to the problems of substance monism/dualism, emergence, mental causation, mind-body interaction, free will, direct realism, etc.
I wouldn't call them insights, but the two biggest concepts that I've learned about, I suppose, would be the MBP and the Kantian idea of noumena and phenomena. (I thank
@Michael Allen for drawing out the power of this concept for me, although I know both Smcder and
@Constance had addressed it as well.)
I think those two concepts/problems are also super interesting to think about in terms of UFOs and the paranormal.
I haven't talked too much about how consciousness relates to the paranormal phenomena mostly due to the fact that I don't have a grip on how consciousness relates to the brain, let alone paranormal phenomena.