The only option is for the Republicans (will take guts) to simply refuse to allow a single bill to come out of the US House of Representatives without first repealing Obamaycare, lowering taxes, and other economy supporting Bills. This would put the liberals in a catch 22 position, allow the government to default on its debt, or negotiate with the Republicans to pass their Bills.
Either way, the Republicans have nothing to lose, the liberals have EVERY THING TO LOSE. If the liberals allow the US to go off the fiscal cliff they have effectively hung the economy around their necks for many many years to come! The only other option is to give the Republicans what they want, they hold the purse strings for the US government!