Basically, there seem to be two choices of government for Iraq.
(a) a Sunni government that stomps the crap out of the Shiites, or;
(b) a Shiite government that stomps the crap out of the Sunnis.
It is possible that either of these is better than what Saddam had, which was
(c) a Sunni government that stomped the crap out of Shiites, Kurds and rebellious Sunnis.
Consider that (a) and (b) have cost us 3040 or so casualties, God knows how many maimed and crippled and bazillions of dollars, while (c) was essentially free.
If I were a Kurd, I'd approve, I think.