As a Green Party member, I think it’s important for so-called “third paties” to be able to run candidates and thereby present their different and unique perspectives on the problems and issues that we face as a nation. The political system needs a few tweaks to make that more possible… things like proportional representation and instant runoff voting (IRV).
I’d also like to see the existing “duopoly” parties, which are actually just coalitions held together by baling wire and string, broken up into their component constituencies. Then those Libertarians who presently are stuck with/inside the GOP would have more of a chance to establish their own voice.
Now, the question of whether you want to elect someone to run a government when they don’t believe in government… that’s a different question! ;*)