The Church of Mormon?

A recent article in the paper about a local businessman who had been called to serve as Bishop of his congregation attempted at the same time to give some background on the church.  The article was fair and kind, but had some unique phrasing to it - clearly the work of someone who has not had a lot of exposure to the LDS Church.  

One particular oddity was referring to the Church of Jesus Christ of Latter-day Saints in this manner:  "commonly known as the Church of Mormon".  

I have heard us called by our full name as above, abbreviated as the LDS Church, and nicknamed the Mormon Church, but never as the "Church of Mormon".  

Members have been called Mormons since, as far as I can tell, the church was organized, because of our acceptance of "The Book of Mormon" as canon (scripture), one of the factors that most clearly distinguishes us from other Christian denominations.  But Book of Mormon is named for its compiler (not even its primary author, or the Savior it testifies of).  Mormon is a relatively minor character, aside from his contribution as the book's finisher.  

In short, it's not Mormon's Church.  It is the church that people nicknamed 'Mormons' attend. And they believe it is Christ's church.