As the Republicans run to the crazy Tea Party right, they leave behind the huge mass of genuinely moderate and independent Americans that make up the majority of voters. The ones that used to consider themselves now-extinct moderate Republicans. They're up for grabs. And the Democrats have to grab them!
Many original occupiers believe the political system has become so corrupt that even participating in it, engaging with it, corrupts the movement. I understand what they are saying. But often, change does come more quickly from the inside rather than the outside. My advice: try both. But don't try violence.