As Bowers says, people don't give a crap about process. No matter what they say in polls, they don't give a crap about bipartisanship. The best it does is have the bipartisan fetishists in the press write nice things about you, but even that hasn't happened.
More than that, in my humble blogger opinion, bipartisanship is bad. Achieving it often requires splitting the baby type compromises. It spreads the blame around by making everybody and therefore nobody responsible. It obscures the real differences between the parties, and those differences are good because they provide voters with a real choice.
I'm not suggesting that lawmakers should never vote with the other side, but in general voters and democracy are much better served by having political parties with clear, if not extreme, differences.