Well ... we will have to agree to disagree on that one. I myself will fight for those right no matter who is trying to usurp them. If that means that I am NOT a libertarian ... so be it.
See, it comes down to the fact that individuals have rights, the government does not. The governments responsiblity is to protect rights. One individual does not have the right to force another to let them be employed by them(which is the same as having a right to that individual's money and property).
When "employed" by the State(government), and each person has the equal right to seek such a position, discrimination based upon race, sex, religion or handicap is an infringement upon individual rights. An individual has the right to seek "life, liberty and happiness", which is limited by every indiduals equal right to do so also. That gives an individual EVERY right to determine who they employee and how much they pay them. Governments(the State) is not an individual. It is composed of individuals. There is a strict devider between "public" and "private". Public only applies to matters directly and only funded by the public(taxes).