Public accommodations laws prohibiting discrimination based on race, religion, or sexual orientation exist as commercial regulatory policy, ensuring the integrity of local markets and all other interrelated markets.
Government does not create integrity. It only enforces its own distorted version of honesty, and that is pretty funny considering the state is the most dishonest institution in existence.
Even if they do ensure integrity, they still lead to racism and bigotry through the politicization of social conflict.
What do you have besides conjecture?
-Commerce Clause jurisprudence authorizes state and local governments to safeguard the markets and protect against their disruption, where allowing businesses to discriminate based on race, religion, or sexual orientation would indeed be disruptive to the markets:
In doing so, it forces more market disruption and conditions greater discrimination.