Your scholarly reply is appreciated, but you must understand that very few people will ever differentiate Muslims to the degree that you are.
Your view is tantamount (in most people’s common understanding) to saying that not all Christians are of the Christian faith. The point is, the common understanding is that Muslims are by definition, people who follow the Islamic religion.
If you want to take on the task of re-educating the entire population about the finer points of Islam, be my guest. 99.9% will continue to call the believers of Islam, Muslims.
Never forget, never surrender!