The libertarians and their party have no disagreement in libertarian philosophy.
Are you saying that libertarianism calls for discriminating against homosexuals in the military and in federal employment and immigration, and that the federal government should not recognize legal state marriages if it is two homosexuals?
I posted a definition of classical liberalism (libertarianism), social issues are not covered by the definition. But implicit in the definition is a moral citizenry. A moral citizenry would condemn sodomy (at least male sodomy). So yeah that is what I am saying, kinda like the USA was until quite recently. You have laws against sodomy (condemning it) but you don’t enforce those laws (live and let live) except in extreme cases.