incapable of modernization
To state mildly. These guys want to go back to the very beginning of Islam in the 700’s. Their version of the 700 Club!
They cannot by “law” compromise on anything or they themselves become apostates of the very Islam they favor.
They must be eliminated---totally and without mercy.
The 7th century or the 600 club

While the article is a good source of background material make no mistake: all the religious mumbo jumbo, and I'm sure there are rubes out there who actually buy it, is motivated by one thing: the quest for power. The West has the money and power, they do not.
Religious fanaticism can be an organizing "story" in order to gain favor among the masses. But the real driving force is power which can only be maintained with wealth.
However, the West is not sleeping. The military action is only a small part of the offensive. Surely you don't think this is a coincidence:
Yes, they must be destroyed. The fact that there is not, nor has there ever been, any real unity in the Muslim world, speaks to their fate. The more they "poke the Lion with a short stick" the sooner they will be torn limb from limb.
Ideology is almost always a ploy used by those who want to garner popular support among people who probably can't understand all the hogwash they spew. They speak in images. But they will inevitably be annihilated.