Most "Western Values" are incompatible with orthodox or conservative interpretations of ANY religion. Of course, when you are dealing with a "living" religion and not something treated in the abstract, it doesn't matter what is actually written in the holy book because all that counts is what is in the minds of the adherents. In order for a religion to be westernised, the belief in individual liberty has to take precedence over divine authority. i.e. It is the "right" of individuals to chose whether or not they accept one religion, what aspects of it they accept or follow, and what practices they adopt irrespective of any claimed authority of its scripture, church or religious institution. In western cultures, it is the "individual" (nominally) as the source of moral authority as opposed to god.
Islamic doctrine may well contain the seeds of a theocratic political movement, but I do not expect that after centuries of practice western imperialism will capitulate out of a "respect" for tradition. Whether by bombs or billboards, Muslims will be westernised. Whatever may be true of the particulars of Islam, I wouldn't under-estimate the power of the western messiah complex in its "civilising mission" to make the world a "better place" in its own image, particularly if precious natural resources and cheap labour are involved.
the Islamic world will lower their borders to "globalisation" and "free trade". Then broadcast through millions of television screens day and night in the name of "free press" and "free speech", the western corporate propaganda machine can get to work at telling them that they should be "free" and how to live their lives. And pretty soon they'll believe that being blasphemous sinners and spiritually unfulfilled consumers is not a "western value"- its "human nature". Even members of ISIL enjoy a Big Mac.
http://kitchenette.jezebel.com/isis-fighters-apparently-love-american-junk-food-1691480658