I've always thought that the idea of Brigham Young as American Moses doesn't quite work because Brigham Young actually made it to the Salt Lake Valley and lived there for many years...
So instead, Brigham Young dies somewhere between the Needles (in Wyoming) and the Salt Lake Valley of Rocky Mountain Spotted Fever which in OTL he was ill with at the Needles. (say on July 18th, 1847)
So this means that Brigham Young is never declared President of the church (and prophet) that occured after he had arrived in the Salt Lake valley in December 1847, he had led the Saints for the previous 3 years simply as President of the Quorum of the 12.
So now the Saints are in the Utah valley, and the next in line is Heber C Kimball, any ideas on how things are different under his leadership?