your stance supports these actions. You feel if a person owns a business he should be allowed to pick and chose who he wishes to serve, even if the business is open to the public. You have said as such. Why would you support someone kicking out a paying customer due to the color of skin.
You presented two different ideas above and combined them into one. One I can endorse, the other (racial discrimination) I don't endorse, but I have no right to make the other person do anything different as their actions are confined to their own body and their own property.
A person can believe you have a right to chose your own interactions on a consensual basis and control their own property. That is one thing.
What a person does with their property in the sense of who they invite to use it or who they seek relations with, is another thing.
My mom thinks I have the right to smoke weed, because she knows I own my body. She doesn't mean she wants me to smoke weed or that she does. A lady in her 80s can figure it out....you can't. Very telling.