Let a few Islamic states occupy a few Christian states and see how long the difference in the scope of violence lasts.
Try Asia.
For centuries, the west had occupied, controlled, and interfered with Japan, SE Asia, India, and China, yet there are no movements there (except perhps fringe groups) to kick out the evil westerners. If anything, Japanese, Indians, Chinese and even Vietnamese and Cambodians can't seem to be able to get enough of western goods and trade--despite having been at war with it in the last few decades.
Result? Unlike the backward Arab world, they are prospering.
If you want to talk about Muslims occupting other lands, well, we can also go with what happened in the Arab world since the 1940s.
The mideterranian Muslim world--Syria, Egypt, Lebanon, Morocco, in particular--used to have a large Christian- and jewish-Arab population. Since the 1950s, official and unofficial "ethnic cleansing" through civil war, discrimination, occassional massacres, mob violence, etc. had forced the vast majority of them either to convert or to emigrate (especially to France).
Result? A dhimmi-free collection of pure Muslim states. What an achievement. But, since (like the jews in Germany) these "infidels" were often the most educated, most modernized, and most civilized strata of Morocco's or Syria's society, their disappearance left the purely Islamic state far worse off.
Maybe keeping a grudge for centuries and being determined not to rest until the inferior infidels recognize your greatness isn't such a hot strategy, after all.
