Some of the episodes so far involve businesses' being sued to provide services to declared homosexuals, when the business owners don't wish to. Charitable organizations have been forced to stop facilitating adoptions because they will not place children with homosexuals. Government schools in some states now insist children be taught that homosexual behavior is positive in every way.
Clearly the libertarian position is that those entities should be free to discriminate against or in favor of gay "married" couples, straight couples, interracial couples, singles, or whoever the want - and that there should be no government schools.
I would say that is YOUR libertarian position, but there is no more an agreed-upon doctrine of "libertarian" than there is an agreed-upon doctrine of "conservative." Some self-identified libertarians support government enforcement of approval toward homosexuality, just as some self-identified libertarians support the universal abortion license.