Unfortunately, neither the Libertarian Party, nor the Constitution Party is a legitimate conservative party.
A few months ago I contacted the head person in several “conservative” 3rd parties and point blank asked certain questions such as: how many states does the party have ballot access in? Does the party have a written charter that explains the rules whereby the party is organized, its leaders chosen and its candidates nominated? And- does the party have any mechanism whereby its platform can be altered? Only a few of my emails were even acknowledged and in all cases I was simply told to consult the parties’ respective websites- which did not have the information I asked for in any easily accessible manner. Any party that does not have concrete answers to these questions likely is just astroturfing or merely vehicles to stoke the egos of certain party leaders.