WHENEVER ORTHODOX Muslims are present, any non-Muslims nearby will be subjected to a constant pressure to yield to Islam. Devout Muslims will never cease pressing for concessions and accommodations from non-Muslims until the whole world is brought under Sharia law. For those who strictly follow the Quran and the example of Mohammad, they know it is their religious duty to do so.
Many non-Muslims have yielded to the pressure already, as you can see here: A Master List of Concessions.
It almost doesn't matter if the percentage of Muslims pressing for concessions is small. The "vast majority of peaceful Muslims" we're always talking about really don't help matters. They don't protest when the devout, orthodox, politically-active Muslims press for concessions. They don't resist it, for the most part.
The conflict is between orthodox Muslims and non-Muslims who don't want to make any more concessions. And unfortunately, this conflict will likely be a permanent part of our lives for the rest of our lives. Our best chance to curb the Islamic incursion into our freedoms is a population educated about this phenomenon, educated about the goal, and educated about their methods. When that kind of education is fairly widespread, the constant pressure from orthodox Muslims will easily be resisted.
Never has it been clearer that eternal vigilance is the price of freedom.