When you say "public business" you imply publicly owned, but of course that's not the case, it's privately owned. Nice try, but flaccid.
Who has a right to threaten force against another person if they don't wish to associate with them? I don't have that right. Do you? Where did it come from? I'd like to hear your argument there.
When you say I support racial discrimination, your lame argument relies on innuendo, that's why it's lame. My recognition that you have no right to force somebody to serve you, doesn't make me a racist, if it does what is the basis of how you think there is a relationship?