Your logic is flawed.
Every one of us provides a good or service to others to make a living. We do not give up our right to set the rules of our own houses when we accept payment from others for that service.
If you run a restaurant or similar establishment, you've got every right to throw out a paying customer, if they break the house rules.
Please tell me where the Free Republic House Rules are posted so I can follow them. Can you give me a link as to where to find them?