It's clever, but it doesn't solve the problem. Because the problem isn't with strong preferences -- it's with extreme preferences. If there were 7 versions of a bill (A,B,C,D,E,F,G) ranging from ultra-conservative (a "A") to ultra-liberal (a "G"), in a polarized community people could still be spending the minimum 1 point each on the A's or G's and none on B-F. The problem with politics today isn't that people are si…
The US has a long history, almost all of it with a two-party system. Only sometimes is there extremity. To my mind, 1860 is even more extreme than today.
(My opinion is that an important common thread between then and today is a class of people with a great deal of money who are deliberately driving the political atmosphere. But in any event a claim that it is a natural outcome of a two-party system needs to account for the historical fact that the US experience is typically not extreme.)