I hope so. I can't say I like either country on a political level. The only ethnic group in Iraq which I believe you can make deals with are Kurds. Sunnis on average still are the most sympathetic to Saddam Hussein, and a Sunni dominated Iraq would thus be little but a regime change, and hardly democratic to the other groups. Shi'ites may seem like a nice group to support being the victims of Saddam and all. But this is as dangerous as liberating Israel for Jews solely because of Adolf Hitler. The Shi'ites are on good terms with Iran. I'm not an Iran-bashing type, but their theocratic government is no way to model a country. Not Iran, not Iraq. But the Shi'ites seem more inclined to form a theocracy in Iraq.
Ruling these out, you're left with the Kurds, and they are at least as sticky. There are Kurdish minorities all around the region. Not just Iraq and Turkey. I think Iran and Syria would want to have a say in the whole Kurdish problem. The west would lose their allies Turkey and Iraq and gain a fledgling ally in the region. One that would even be very hard to defend against enemies from all sides.
My previous evils analysis of Iraq goes to Turkey as well, in a way. Just months ago everybody was protesting the Islamization of Turkey by Gul and Erdogan, especially the Turkish military. In the west, military involvement in politics is viewed with great suspicion, and rightly so. But Turkey's military maintains strong ties to the past and specifically Kemal Ataturk, the first president and a secularist. Since Islamization is distrusted by the west to, the Turkish military would sound like 'the enemy of my enemy'.
But it's more complicated. While Erdogan has proven to be a genocide denier, the military is that by default. The bill recently passed in the USA came under heavy attack by both powers, as well as the White House, which needs Turkey as a whole as an ally. While you could support the military against Islamization, there's nothing in Turkey that you can support against state nationalism. Armenian (and Assyrian) genocide recognition earns you the attention of radical nationalists who solve dissent with murder much like terrorists with Fatwas. Turkish nationalists (and there's a lot of them) will treat much like you're a neo-Nazi in Germany. This stubborn and dangerous nationalism goes through all layers or Turkish society and it can be blamed for the Cyprus question, since Turkey does not acknowledge Greek controlled Cyprus, just Turkish Cyprus which was illegally invaded.
What these nationalists need is a little bit of humble pie. The Germans got it after World War 2 and they don't deny anything. I think the Serbs are also starting to take hints, even in the complex diplomatic web of the Balkan. But countries like Japan or Turkey have a hard time acknowledging their crimes. I can understand that because they may be afraid the actions of the past reflect on them now. Even I think the Indonesian conflicts of the Netherlands are sad, but necessary (I still see Soekarno as a creepy fellow with his own brand of state nationalism which is why islands that did not join his republic willingly were invaded). But it would be better for Turkey to come clean and then we can all relate to eachother on equal terms. It's not like any European Union member is without genocidal incidents or cases of mass murder and unnecessary violence. Well, Norway maybe. But Scandinavians are perfect for a reason.
So yeah, I hope this blows up in Turkey's face and (Kurdish) Iraq retaliates. It will kill two birds in one stone: the state nationalistic Turks and that arrogant George Bush who thought this war was a good idea. A war at this point will be most disruptive for Iraq, just as Dubya's clique was hoping to score points on the Betrayus report. Yeah I know, it's not nice to wish this on Iraqis now that they are so down and the whole region is at a turning point. I wish it was the neo-cons who lived in Iraq. The only IEDs we can expect from them in the US are October surprises, fillibustering, vetos and dirty politics.