How do you think the US government would be affected by switching to a multiparty system?

There are countries that we should certainly switch with. Tiny countries have tens of parties while we have only 2 dominant ones. While there is libertarian and green party many of them do not have much support. It would certainly bring new ideas to the way this country can be run, but at the same time it could create even more bickering. 2 parties right now fight over so much, it would be interesting to see how much fighting would occur if there were 3 or 4 or more dominant parties.