I'm sure this is going to surprise you but... I would be highly skeptical of that claim. I haven't looked into witchcraft in any real depth. Perhaps I will. When I get sick, I'm pretty sure I am still going to look to medical science for help and not a witch doctor. Guessing that's not what you mean by "deeper facets of reality" though.
I have checked out Buddhism in some depth. I still have Buddhist sympathies. Although, much of the mystical tradition is lost on me.
I can only speak to my current level of consciousness. I don't claim to be enlightened, or know the "truth" in any absolute sense. I'm not even convinced that such a thing exists, or is attainable. I'm certainly open to the idea though.
When I said that "I believe science is the best tool we have for understanding reality", perhaps I should have said that I have found it to be an extremely valuable tool for understanding reality and of great value to mankind. I'm not immune from making overreaching claims from time to time.
Lastly, the Harrisite in me has the add... I don't see being a dogmatic rationalist as all that bad of a thing to be. Maybe not the dogmatic part of the label, but I wouldn't argue if someone called me a rationalist. It wouldn't capture the totality of who I am, but it wouldn't be a bad start.
Clearly we see things differently and you may not believe this, but I hear a lot of what you are saying. It's something I will continue to consider as I navigate my way through this life.