In the libertarian universe, it's a terrible affront to liberty to force a businessman to accept black customers. It is entirely acceptable to send a black man to jail for trespassing if he should try and force the matter.
 I know there are lefty small-government types. To avoid confusion, I tend to call them anarchists in the Emma Goldman variety. Rand, and the white, wealthy conservatives who are uber-concerned about the Civil Rights Act, are libertarians.
 This is especially relevant in an age--like the 1950s, and increasingly today--where public services were/are delivered by private means. For example, Rosa Parks was riding a privately-owned bus (delivering a public service in contract to a city government) when she refused to give up her seat.