This is the joke of the century. You can try as hard as you want in your media and propaganda to change perception about the real Iraqi demographics. Iraq is a majority Sunni country and will stay that way no matter what. Just like Syria and soon Iran.
I am rather taken back that you are actually serious in this regard.
Iraq has roughly 30 million people.
Anbar had roughly 2-3 million? Let's say they are all sunni.
Ninevah had 2 million? Let's say they are all sunni.
Salahideen had 1 million? Let's call them all sunni.
Diyala has maybe 250,000? Let's call them all sunni.
Basra has maybe 250,000? Let's call them all sunni.
Baghdad has maybe 1.5 million? Let's call them all sunni.
Kurdistan Region has 2 million? Let's call them all sunni.
Okay now these numbers are all exaggerated for your sake but even with that we have a total of
10 million Sunnis out of 30 million Iraqis.
33%~. Which is roughly in line with the demographics. 10-15%~ Sunni Arabs, 10-15%~ Sunni Kurd, 60%~ Shia Arab, 5%~ Shia Turkmen, Kurdi Fayli and 5%~ Other minorities such as Ezidis, Mandeans, Sabaens etc etc etc.