This is like a bunch of atheists devising ways to to convince religious people who stopped going to church that they really need to go back to church so we can tell them how bad it is that they are going to church.
We are talking about a cult of state worship. If you desire to exploit the presidential election in order to reach people who are already in the cult with the message of liberty, that's one thing. Ron Paul did this very effectively.
But the whole Adam Kokesh for not president campaign, and the targeting of apathetic non-voters is not just legitimizing the state with participation in the election process, it's actively recruiting for the cult- sucking people back into the idea that change can come about through just a different form of government.
Nothing legitimizes the state. And ignoring it does not make it go away.