how about...no homosexuals on my property or no black people?
Are my property rights secure?
Unless you offer your property up as a public accommodation, you are quite secure in whatever your prejudices. I don't like hawkers bothering me myself, whether it be for a product, religion, or political candidate. My policy is to not answer the door when the doorbell rings, unless I am expecting somebody. Call first, or I am not home.
Those rights are not currently protected as they should be, but you DO have them as a property owner.