No it won't. Third parties in our electoral system don't do well simply because the two major parties cover most the important issues - there really isn't much room for them in the ideological sense. Third parties do well only when the two majors agree on major issues and the public disagrees with those positions. This is why the LP is becoming the Pothead Party - the two majors agree on drug policy and the only supporters of the LP become then people for whom drug policy is the most important thing in life. However, most people don't care that much about drug policy one way or the other so the majors don't spend a lot time campaigning on it.
You are refusing to see the distinction between party and philosophy.