They don't. Nor do they have the right to make other people use their justly acquired property or body in ways they prefer not to.
You insist that indifference to a person is the same as initiating aggression (actionable harm). That can only mean you don't believe that individuals can truly own property or you give a pass to your coercive government to do things to people and their property that individuals cannot morally do.
Since I know you do believe that individuals can own property, I'm left with the idea that you want government force to be applied to people that leave others alone and remain on their own property who hold different beliefs than you do. THAT is why you share the same mindset as a prohibitionist. You think the initiation of force by a coercive government against an otherwise peaceful person is acceptable.
I know you've been trained to think that a racist has NO rights, but their right to control their own body and their property is the same as yours and mine Comrade. Conversely a racist, like you, like me, have no right to control others property, neither does your nanny state.