A Far-Fetched Idea

In class today we discussed Federalist 10, when Madison talks about the dangers and inevitability of  factions in the United States. Today, we obviously have two major political parties that switch off power depending on the year. Unfortunately, there's no way only two political parties can accurately capture the views of Americans. However, our current voting system cannot accurately reflect the diverse opinions of the US because we are too large to have just two political ideologies. So why don't we change how we vote?

If the US switched to a single transferable vote it could open up the political system for more factions so that they could be more representative of the country as a whole. In turn, STV could also help reduce the amount of gridlock in politics and help encourage compromise because parties would have to appeal to different types of voters.