I'll take Rand Paul at his word. He's opposed to racial discrimination.
However, he obviously supports allowing businesses to engage in racial discrimination without impunity. Evidently, if the government says it's against the law to run a whites-only business, this is a bridge too far for Rand Paul.
Libertarianism, which both Ron and Rand Paul famously embrace, suggests the free market is a significant and vital component of liberty. Private businesses are capable of accomplishing everything, and government can't interfere or regulate those businesses in any way. The free market will police itself. Just leave it be.
Private industry can pave roads, educate children, put out fires and protect our streets from drunk drivers. It can shuttle our kids to corporate schools and back, it can provide clean water to our homes and they can guarantee our meat and vegetables aren't contaminated with diseases. And by the way, in a nation that's 70 percent white, private businesses can choose to do all of these things for white people only. Private businesses can provide everything we need, but only offer those services to white people.
So, in Rand Paul's utopia, not only can Woolworth's prevent black people from sitting at its soda stand if it wants to, but a private, free market corporation can set up shop in a community, buy up any competing corporations and announce that it no longer serves black people or Jewish people or Hispanic people or gay people -- any minority segment of the population.
Or, when public schools are eliminated, a free market education franchise can form a monopoly and ostensibly can choose turn away non-white students, potentially excluding minorities from receiving an education. And all of these businesses are allowed to consolidate with each other, forming larger monopolies, and the ability of the people to effectively fight back simultaneously decreases as unregulated corporation's financial and market power increases.