Services should not be required to be rendered unto anyone.
Translation: business owners should be allowed to ban blacks from their businesses.
Nice try, but I would argue that any business that provides a service to people is by definition public, and therefore can be regulated by the government. It doesn't have to be government owned for the government to pass laws regarding their conduct.
Just to clarify, it's services not products. And it has to be services that need to be done at-will. (This does not extend to housing obviously.) I can understand some disagreement there though, but I think that's a fair line.