Unlike other established democracies the Iraq draft constitution doesn't act as the supreme law of the land. Islam is the supreme law of the land. It is clearly labeled as such.
Because of this the constitution is lacking in the necessary elements to establish equal rights. Islamic law still controls women's lives. They are forbidden to have a passport or travel without a family male escort, forbidden to divorce without permission from a husband (rarely granted), and are still beaten for wearing bare arms, beaten for a lack of escort, beaten for any infraction of Islamic law.
Iraq needs a secular not religious government to be a functioning 'democracy'. Only then will women be equal. Besides the vast majority of Iraqis are more concerned with when they will have jobs, electricity, clean water, healthcare...players...no one else will benefit.