But that wasn't all Moroni did for the Book of Mormon. For a period of at least 36 years (see this Attention Activity section on how to derive that number!), Moroni's mission was to lug around the heavy, metallic record without getting caught by blood-thirsty enemies who wished extinction upon his race. He managed to find a good location for the record along with several other heavy items. And 1,400 years later as a glorified angel "sent from the presence of God" (v.33), Moroni played the principal role of instructing a young Joseph Smith on his latter-day mission, with specific guidance on how to retrieve the same record Moroni had buried as a mortal.
Yes, Mormon compiled the majority of the book, where in the "Words of Mormon," a transition chapter near the beginning of the record, he calls it his record and his book, but there is no indication that he intends to name the book after himself. So the question becomes, was it Mormon who named the book after himself, or did his son, Moroni, name it after his father?
The often skipped-over Title Page of the Book of Mormon offers clues that Moroni named the book after his father (see an analysis of that theory by BYU's Maxwell Institute here). If true, the significance of Moroni naming the book after his father shows an act of selflessness, love, devotion, and honor. All available evidence points to Moroni naming the great work, "The Book of Mormon."
I would take it a step further by saying that Moroni's naming the Book of Mormon is yet another witness of the book's divinity. If concocting a great fictional tale of multiple civilizations chronicled by multiple writers, Joseph Smith could have named the book anything he wanted. It would have made more sense for him to claim an angelic visitation from Mormon rather than Moroni, or to name the book after Moroni if he stuck to the Moroni visitation claim. But no, both father and son play primary roles in bringing the book to Joseph, just as Nephi begins the book, but not without first acknowledging his "goodly parents" and then proceeding to first give an account of why his parents are so good (a possible example of chiasmus).
Out of all of the things we learn from the Book of Mormon, it is this small detail that fits so comfortably with the Gospel and the purposes of the restored Priesthood. A devoted son endures great hardship for nearly four decades after his father's death, in order to honor his father's magnum opus, the purpose of which is to bring all living and those who have passed on, to Christ. Moroni finishes his father's work by writing the Title Page, naming the great record after his father.
There is something deeply moving about the story behind the naming of the book. It is therefore no surprise that after three distinct visitations in one night to young Joseph, Moroni strikes on this theme by commanding Joseph in a fourth visit the following morning that Joseph should tell his father of the visit. Joseph then states:
"I obeyed; I returned to my father in the field, and rehearsed the whole matter to him. He replied to me that it was of God, and told me to go and do as commanded by the messenger." Joseph Smith - History 1:50In each of four visits on this occasion, Moroni is uniquely qualified to instruct Joseph this sweet truth, having lived it in mortality and perfected by it in immortality: "Behold, I will reveal unto you the Priesthood, by the hand of Elijah the prophet...And he shall plant in the hearts of the children the promises made to the fathers, and the hearts of the children shall turn to their fathers."
We, too, bear the name of his father when we are called, "Mormons." I have a feeling that Moroni would have it no other way.