I think it should be a communist democracy(which is what I voted for, your description of what you meant by it wasn't up at the time), but the fact is, none of these three have a chance of actually taking power anytime in the near future. If there was an open election, you'd be right, and in fact i'd say communist and baathist could pretty much be ruled out too and say it would almost certainly be a theocracy.
Given how things are in reality however, there will be a choice between a few carefully screened pro-western leaders, none of whome will fit into any of these categories, and the winner will be kept in place by mass propaganda campaigns and a constant US military presence.