Turkey and Iraq

What if Turkey invades Iraq? Turkey is a fellow NATO country, but since we have set up and are supporting the Iraqi government, shouldn't we support and defend that government? We should perhaps be thankful that Turkey has not yet been allowed in the EU -- because what would the consequences be fore the U.S. to have to fight a member nation of the EU? And if we end up having to go to war with Turkey, who in the Middle East cold we be friends with? This is looking to head toward a real disaster.