And how would such a mystical force do any correcting?
You seem to think the market is not a natural force. Let me explain:
Pick up a normal everyday item like a pencil. It consists of parts like a wooden casing, some paint, carbon on the inside, a rubber eraser on its back end, a metal holder for the eraser.
You buy this item for a negligible amount.
Now here's the trick: How much would it cost you to make one from total scratch on your own?
One dollar? Ten dollars? A hundred dollars?
It would actually cost millions of dollars.
Here's another trick: No one knows the manufacturing process of that pencil from end to end in its entirety.
From the wood being cut, to it being treated, the chemical composition of the paint, the processes involved in the manufacture of the base materials. That simple item encompasses the ingenuity and force of our entire civilization.
Think about it for a while: The market is a natural force, like the ocean, like hurricanes or any other great natural phenomena you can think of.
When humans intervene in the market through legislation like a minimum wage, one better know what one is doing because one could end up with unintended consequences. I'm not saying that it cannot be done, the Dutch have been keeping the Atlantic ocean at bay for a very long time, but what I am saying is that when you choose to impose limits on the market you better have thought this through thoroughly.