"To justify capitalism, capitalists have to rely on supernatural beliefs, such as the invisible hand."

Now you're just disputing well-established facts.  The invisible hand is not a "supernatural belief," it is a scientifically measurable phenomenon that isn't even disputed within the academic community.  That people seeking their self-interest often benefit society inadvertently isn't something that any economist can actually dispute.  The only thing they can dispute is the degree to which the invisible hand is helping society, not whether or not it does (it unarguably does).  

Seriously, econ 101 textbook, I will mail you a copy if you like.  You sound like a Young Earth Creationist disputing evolution right now.  

Find me one significant economist on this planet that disputes the fact that, IN GENERAL markets are good (not absolutely, just in general).  You're saying the invisible hand is a "supernatural belief," please support that statement.