That sounds nice when you only think about "good" people opposing "bad" bills, but you can say goodbye to any kind of social reform under that system.
Repealing DADT, Repealing the Defense of Marriage act, same-sex marriage are some social reforms that would never happen under such a system because you can easily find millions of americans that are extremely outraged about those issues.
The protests against SOPA and PIPA worked because the absolute majority of the american population didn't care and didn't have an opinion either way, but the tech community had an expert opinion against it based on facts and technical knowledge.
But if you open up your suggested system to issues where everyone has an opinion and noone really knows the effects, the results are going to be abysmal.
I wonder what the US would look like with a proportional representation system instead. Where you would have an actual Tea-party party with as many seats in congress as they actually have nationwide support for. And where the other "factions" of the Democrats and the Republicans formed parties in their own right, and people could have a more active role in shaping the policies of the "block" of their choosing, instead of just voting for it because they don't want the other side to win.
I wonder what it would look like if every vote counted, if there were no swing-states, no gerrymandering, if the electoral college votes where also proportional, so that voting for a third candidate is meaningful, or a fourth, or a fifth. I wonder what would happen if the election results showed the "purple" America that actually exists, instead of the red vs. blue illusion.