24th of June 2037, barely 25 years since now. I do not know the reason for your optimism but I feel that there will be very little change in Muslim world in such a short time. This would be possible only if a strong liberal movement would be existing in the Muslim world, which is not there.
I always say that Muslim religion is difficult to live in and even more difficult to leave. The Quran prescribes death penalty for a muslim deserter. Despite this, there are more muslim atheists than we notice. Every society has closeted atheists who face difficulties in coming out in open and Islam is no exception.
Comng from the other end of the spectrum I know someone who lived in Yemen and adored the culture and the people. Similarily in Turkey. He is a a solid atheist but has a lot of respect for the Koran because it has great structure and good advice morally for how people should live. He says it put down in a lot of detail what good conduct means and everybody knows everybody knows so no room for fudging or a delinquent doesn't know better if they have ears or can read. I don't know to what extent this is true but certainly it is more explicit than the Christian Bible; the Jewish Bible is just rigorous in codes to live by. Of course the fundamentalists invest axioms on Mohammed's words but he says the Koran itself has many positive values ordering soceity and that is from his own humanitarian western standpoint.
Thing is this value is riddled with Allah-as you say stuck in the iron age !! But religion is as much a cultural glue for a soceity as honouring God and the two become inseperable.Many moslems don't want to become westernised or be influenced by the west as though it's best. As I think is happening in Iran today. Even the women are well educated but theism is a cultural shield to block the west in their affairs after the debacle with their puppet king to the USA etc.....In this light they don't want to embrace atheism because it's a western concept even if educated enough to harbour agnostic type ideas intellectually
The Bible became a joke in Europe in terms of its ability to hold together the family in modern times. What Islam has is deservedly great family values it is not all doom and gloom for moslem wives mothers or even daughters. Its not perfect in unstable countries for women but better than the family unit is doing in the west.
These social forces are as strong as the belief ones which is why moslems don't become atheists .
Perhaps one fine day the Koran will edit out the paternalistic axioms and the god bit and keep the moral/ traditional codes good for family and soceity.......I think not! !!