Their love for foreign armies.
Showtime's Penn and Teller's Bullshit inspired me to do some research on Dick Armey, the former Republican Congressional leader and this is a cute quote that I uncovered:
Robert Draper's Dead Certain: The Presidency of George W. Bush recounts a conversation in late summer 2002 between Armey and Cheney. Armey insisted that American forces would get "mired down" in Iraq if they invaded, but Cheney offered this assurance: "They're going to welcome us. It'll be like the American army going through the streets of Paris. They're sitting there ready to form a new government. The people will be so happy with their freedoms that we'll probably back ourselves out of there within a month or two."