The TEA party does not believe gays are to be stoned. Only slate would believe that.
For what it is worth, this guy doesn’t appear to be libertarian at all, he claims he is pro-family values.
Not libertarian:
1.3 Personal Relationships
Sexual orientation, preference, gender, or gender identity should have no impact on the government’s treatment of individuals, such as in current marriage, child custody, adoption, immigration or military service laws. Government does not have the authority to define, license or restrict personal relationships.