I use a particular terminology to get around this conceptual mess by distinguishing between Muslims and Islamicists. There is a profound difference. I have observed that Muslims are, by and large, regular folks who basically want to live unmolested, be successful entrepreneurs, and take care of their families. They tend to hang out in libraries, and are content to live as peaceable, law abiding citizens under secular, democratic government. Their young men's serious leisure interests tend to focus on girls, soccer, and beer, and their young women's include alluring swimwear, fashion trends, and movies such as
Titanic.
Islamicists, on the other hand, want to burn down those same libraries, and are willing to kill themselves and their children to destroy everything and everyone that stands in the way of Islamic world domination. They have no part time interests other than furthering those goals.
For a good understanding of how the distinction can be made practicable, spend some time in Istanbul and Turkish beachfront resorts.
Sorry Mortimer but I don't agree with your analysis. If you read the article closely you would see that all Muslims seek world domination; some simply use the less visibly violent methods of exercised social and political power. The differences between Western culture and Islam are irreconcilable, i.e., unless you have a secret desire to be Muslim or a second class citizen.