As interminably fascinating as this discussion of positive/negative rights may be, you're right that it's likely irrelevant. For some idea of Rand Paul's views, I think you should look elsewhere - specifically to his intellectual (and physical) forbear:
Consider the Lawrence case decided by the Supreme Court in June. The Court determined that Texas had no right to establish its own standards for private sexual conduct, because gay sodomy is somehow protected under the 14th amendment “right to privacy.” Ridiculous as sodomy laws may be, there clearly is no right to privacy nor sodomy found anywhere in the Constitution (my emphasis). There are, however, states' rights — rights plainly affirmed in the Ninth and Tenth amendments. Under those amendments, the State of Texas has the right to decide for itself how to regulate social matters like sex, using its own local standards. But rather than applying the real Constitution and declining jurisdiction over a properly state matter, the Court decided to apply the imaginary Constitution and impose its vision on the people of Texas.
...
The real tragedy is that our founders did not intend a separation of church and state, and never envisioned a rigidly secular public life for America. They simply wanted to prevent Congress from establishing a state religion, as England had. The First amendment says “Congress shall make no law” — a phrase that cannot possibly be interpreted to apply to the city of San Diego.
Rand Paul reflects his father's reliance on
"rights plainly affirmed in the Ninth and Tenth amendments," and his unwillingness to accept the 14th Amendment's plain wording and clear intent:
No State shall make or enforce any law which shall abridge the privileges or immunities of citizens of the United States.
This same impulse leads the younger Paul to throw the question of gay marriage to the states, for example. If you're looking for penumbras and emanations to reject, why not discuss this bit of unlibertarian hypocrisy, where the question of any possible victim doesn't intrude?