The man wants MINIMAL government involvement in deciding how an individual runs his life.
He isn’t saying that there should be no moral judgments at all. He just does not want the government making laws outlawing certain kinds of behavior that does not harm to others (e.g. marijuana ).
Having said that, I don’t think you can ran a society or a country without acknowledging SOME moral norms. It might be influenced by Christian, Muslim or Ayn Randian ideas, but you cannot avoid it.
How do you get from this statement of the author's to "The man wants MINIMAL government involvement ..."?
I don't suppose for a minute that he's speaking for everyone who identifies himself as "libertarian," but it seems to me that "proliferation of moral judgments" translates to "no moral norms or standards," simply as a matter of philosophy.
Gillespie conflated the very things he should have distinguished; specifically, enforcement and morality.