Hey Rich. I'm about your age (21), and what I did before choosing Wyoming is make a list of all the differences in lifestyle that I would encounter between NH and WY. There was a thread about the detailed differences between Wyoming and New Hampshire. I just tried looking for it, but I can't find it, any help?
Others have answered some of your questions, but I'll answer your LP questions.
The FSW, and these forums, as well as some of the members, such as MamaLiberty, are not involved in any elections or politics as usual, and they make it quite clear, right ML?

As has been said many time about this movement, it is an Umbrella movement or organization, to be used mostly for networking and social connections. Other members here are active in attempting to get libertarians (small L, as far as I'm aware) elected to offices. For info about this, Don "Chill" Wills started a pretty lengthy (and somewhat heated) topic about the FSW here:
http://www.fundamentalsoffreedom.com/fswforum/index.php?topic=5872.0, which ended up basically with a consensual agreement that another group in Wyoming was to handle the political aspect, as well as getting relocaters in Wyoming (sort of what Molon Labe dealt with, but probably not on that scale, yet). If you have questions about that, private message Don "Chill" Wills about it, and he'll give you info.
Anything I forget?