In a sane world, throwing the support to the opposing party in an effort to discipline the misdeeds of the party with which you had previously identified, would be a perfectly logical strategy.
But when there is only essentially one party involved, and they tell you “My way or the highway”, the alternatives are very much diminished. What it comes down to, is “My way, my way, or my way”, as there is no viable highway to pursue a different objective.
I say let's make them not relevant! What's the difference? Turn our backs on them in public. Turn the news outlets on your television off. Block the damn channels.
Shunning the politician starves the media beast. A starving media beast will do whatever it must do to eat. It will destroy Obama, his policies, his ideas, his congress, his courts, and even his people.
The beast must feed. We have the internet for now.