C'mon, fellas, let's think a bit, here:
"We reserve the right to refuse service to anyone."
My mom had a saying, too: Your rights end where my nose begins.
Private property rights are the bedrock foundation of every other right. Including ownership of your own person, the right that protects you from slavery.
Your right to own a gun is predicated on your right to own... anything.
If you own it, you decide what goes on with it. True for your firearm, true for your real estate.
Can't have it both ways. The owner of property has the right to tell you if you can enter, and to set conditions, the same as you have the right to choose to enter or not enter under those conditions.
I have the Constitutionally guaranteed right to freedom of expression.
I don't have the right to exercise it in your bedroom at 3am.