Yup, Islam would indeed be the fastest growing religion in West countries since:
1. By default, they are Christian. So, a missionary can't convert anyone there.
2. Hindus don't go about converting other people as they believe that the roads to God might be different, but the end destination is the same.
3. Muslims have been converting people of other religions since Islam was founded, it is told in the Quran that "the Quran is God's (Allah's) final revelation to mankind, after the coming of the Prophet, there shall be only one God who would be worshipped by all people, i.e., Allah." In the Quran, fighting for this Allah's cause is glorified as "those who die in Allah's cause shall find a place in Allah's heaven" (the motivation for jehadis). No wonder that Islam is the fastest growing "religion" in the Western countries.