Then we're going to have 30 different political parties.
Splendid idea, maybe not 30, but maybe 11 or 12, so long as the left similarly fragments. On the right parties standing for strict contructivism, almost anarchist libertarianism, the sort of rose-window conservatism that wants the state to vigorously enforce traditional Christian morality, classical liberalism, on the left a "green" party, a socialist party, a black-separatist party (or would that be a left party, they might support school vouchers, oppose siting abortion clinic in black neighborhoods, at least), a latino separatist party, a party for which sexual politics is the be-all-and-end-all, and heck on the fringes, a communist party reinvigorated by defections from the vanished democrats, and a white nationalist party, and throw in a party of self-identified centrist, and party that fancies technology and everything being run by a technocratic elite can fix everything.
We'd get more-or-less a parliamentary system with the House electing every President.