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Fundamentalist peoples, and ultra-religious people won't be enemies of liberty once you show them that real liberty allows everyone--including themselves to practice their religion in peace, without govt intereferance, so long as they don't harm others in the process.
Likewise, once you explain to people that freedom is not only in their interest, but, generally speaking, in the interests of most others, they will like the idea as well.
Soccermoms are really just misguided. They see terrorism and incidents like columbine as being of great threat to their security and their children, when in reality, the likelyhood of any such incident directly harming them or their direct family is like winning the lottery. The Patriot Act, and Gun-Control, on the other hand, is a direct threat to the liberty of all in the nation they live in.. once they catch on to this, they will become supporters of liberty and freedom as well.
Republicans? Many are religious. See example for radical religious folks. Explain to them that what is really "american" is the freedom of religion, and the freedom of everyone to do as they wish, so long as it doesn't cause direct physical harm to another individual. (A very "libertarian" thought). They can be persuaded too. Many republicans also vote republican because they see it as a patriotic party that supports low taxes, and real american values... you just need to show them that freedom is the most american thing of all, and the Libertarians support the maximization of it (generally speaking). Show them Libertarians are the true patriots... which they are.
Show the ACLU, and the NRA, and when you can, and explain to them both, that as pro-freedom, pro-liberty, and pro - civil/individual rights organizations, the Libertarian party is what is right, and american.
The bottom line is, while there might be some people who will just flat out reject the ideas of liberty, many can change, with guidance, and persuasion.
Persuade, don't force. It's the Libertarian thing to do.