Here are some points to ponder.

A well publicized recent poll of over 100,000 British Muslims, revealed the following results:

"... 23% of British Muslims said Islamic Sharia law should replace British law in areas with large Muslim populations.

On social issues, 52% of the Muslims surveyed said they believe homosexuality should be illegal, compared to 22% of non-Muslim Britons. Nearly half believe it is unacceptable for a gay or lesbian to teach their children. At the same time, almost a third (31%) of British Muslims think polygamy should be legalized. Among 18-to-24-year-olds, 35% think it is acceptable to have more than one wife..."

It is a very dangerous fantasy to have to hope that secularization amongst Muslims is going to accelerate

Too dangerous.