Not necessarily. Remember that Chile under Pinochet grew to be the most successful market-based economy in Latin America, as opposed to the various Democratic Socialist (and under Allende, openly Marxist) goevernments that preceded him.
I doubt Iraq will ever produce a Pinochet. What matters to me most is that the government is friendly to the United States, but enjoys a large enough base of supports where it won't fall like a house of cards when the US pulls out.