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Apparently, in 2004,
Wikipedia said:
Senator Lincoln Chafee of Rhode Island considered challenging Bush on an anti-war platform in New Hampshire, but decided not to run after the capture of Saddam Hussein in December 2003.
So, let's assume Hussein evades capture - for the time being - and Chafee stands. Obviously, he's not got a snowball's chance in hell of securing the nomination, but he could be an interesting actor in what was (in OTL) a pretty close presidential election.