Okay...first off, it's hacky to say that Saddam was a stabalizing force.
Of course he was. that's why the Arab allies INSISTED that we didn't topple him in 1991 and weren't keen to go along with us to topple him in 2003, because they KNEW it was a bad idea.
Second off, Kurds do comprise some of the territories you mention. However, that is due to geo-national politics. They are centered and largely into Northern Iraq. An independent Kurdistan is a good thing. As it is, they're autonomous in Norther Iraq and have been.
Actually, Turkey and Iran have larger Kurdish populations than Iraq has.
15.7–20%[1][2][3]
7–10%[1][2]
15–23%[1][2]
9–15%[2][4][5][6]
Kurds - Wikipedia the free encyclopedia
No, an independent Kurdistan is NOT a good thing.