Their headquarters is in Independence, Missouri, which was the location of the Garden of Eden, according to Joseph Smith. In traditional Mormon theology Independence, Missouri ranks far higher than Nauvoo, Illinois or Salt Lake City, Utah. It is like Mecca to Muslims.
The Coc (formerly the RLDS) has its own temple there with a pinnacle where it was prophesied that Jesus Christ will land upon when He returns.
As in Islam, one of the primary reasons for the division within Mormonism was a question of succession. Prior to his death, Joseph Smith did not write a will or make a decision regarding succession after him. The RLDS determined that succession was to be hereditary and thus determined to follow Mr. Smith's son, also named Joseph (as were all of the elder sons of succeeding generations). Brigham Young, on the other hand, was not biologically related to Joseph Smith, but was quite charismatic. He claimed Mr. Smith's spiritual authority. Most of the Mormons were in great confusion and disillusionment following Joseph Smith's death and many simply abandoned the faith. Mr. Young managed to persuade a majority of the remnant to follow him westward and they ended up at the Great Salt Lake in Utah.