Some scholarship reveals that a % population of over a couple of% Muslim is a very serious problem.
As you'll see, Muhammed was 29th in 1913 (although that was up significantly from the year before). The top five boys' names are the decidedly un-Islamic Oliver, Jack, Harry, Charlie and Oscar.
Worth noting that Muhammed will always appear misleadingly high in the rankings, since in most branches of Islam it's always the name given to the firstborn son, whereas non-muslims have thousands of names to choose from - particularly since the recent fad of giving your poor child a synthetic or made-up name in the fond hope it will convey individuality. (Fortunately, as you'll see from the list, this practice seems to be fading).