This, from the emigres voters' guide, implies that you can be eligible for Iraqi citizenship by having a father born there. (My family had this same gender discrimination issue in the US until somebody pointed it out and had it fixed by Congress, less than ten years ago.)

So--Does Iraq have a constitution, new or old? Did the laws of Iraq which pre-existted Saddam's reign remain intact, and survive his reign? This is unique in the extreme. From whence do the current electoral laws get their validity?