Alternative: they all argue and oppose each other for no reason, until two points of view take and we start the two-party process all over again, but split on different issue. Remember: we started with no parties, until people decided to vote with others for added power. Either way though, not much would actually get done in the way of significant changes.
However, I would love to see what you said happen, because the optimist in me says what I said might not happen. Better than doing nothing! (although, I'd prefer just everyone losing their party, and being elected based on credentials).
