I think most think Islam is just like Christianity. They think ISIS is just a few bad apples. They need to read the Koran to see that those guys are following the teachings to the letter. Mohammed was just peaceful when he was starting out and that is the Islam that is presented to the West. Once he gained a following all the nice guy act went out the window.
There are moderate Muslims. And there are good Muslims. But there are no good, moderate Muslims.
The ones following the "teachings to the letter" are the good ones. The rest face the task of redefining the teachings to be compatible with the Anglosphere, abandoning the teachings, or getting rubbed out in the battle.
I'm really indifferent to their fate. It's their choice!
I'd say you got it exactly right.
Christianity and Islam are so different that Christians have trouble believing another religion has a God that wants Infidels to be subjugated, converted or killed.
Islam isn't a be nice to strangers, forgive and forget, turn the other cheek, pray for your enemies type of religion. Islam is a God wants you to chop their heads off if they won't convert or resist the spread of the religion.
Also after years of a soft approach to non- Muslims. Muhammed had only about 100 adherents.
Koran 002.062 Those who believe (in the Qur'an), and those who follow the Jewish (scriptures), and the Christians and the Sabians,- any who believe in Allah and the Last Day, and work righteousness, shall have their reward with their Lord; on them shall be no fear, nor shall they grieve.
That soft approach went out the window in later Chapters of the Koran and killing resisters became the way to go.
And it is still the way to go.
And it will always be the way to go for Muslims, unless their is another revelation from Allah to change it. - Tom