Morty:
This is why he opposes it:
http://en.wikipedia.org/wiki/Civil_Rights_Act_of_1964#Title_II
"Outlawed discrimination in hotels, motels, restaurants, theaters, and
all other public accommodations engaged in interstate commerce"
I.e., it violates private property rights.
Seems like a perfect example of vulgar libertarianism to me. Look, property rights are customarily unaccounted for. No free market exists. No propetarian society exists. Why do you insist on blaming the victim for this?
Sure, if it ever was a free market, the rule would be immoral - though if it were a free market it would seem that the rule would not exist, period... However, it is not a free market and if Paul devotes any energy to opposing it, he is the racist the "ghost letters" made him out to be at worst, and just wasting everyone's time at best.