The newer, smaller and more centrally organized a religion is, the less prone it is to reformed versions breaking away. It also helps if the religion's followers form an insular group, to one extent or another, away from the tug of societal trends.
The Church of Jesus Christ of Latter-day Saints has typically had a very strong form of this identity. It’s a highly centralized organization, with a clear set of rituals and behaviors that are expected, with clear outcomes for those who follow suit -- and those who don’t.
Yet some things have been changing for the church. Perhaps that started in a big way with the exhortations of its former president, Gordon B. Hinckley, for church members to become less insular, to go out into the world more. Other things changed after the Mormon push to pass Proposition 8 led to a backlash that left many Mormons feeling stung; since then, the church has taken a noticeably kinder tone toward gay rights, though not to same-sex marriage.
But the more that a religion’s followers interact with the bigger world in meaningful ways, the more likely they are to want to find a place in that bigger world. This happened to Judaism -- many times, but perhaps most notably during the Enlightenment that began in the 18th century. With the larger society removing many of the restrictions on Jews, Jews in turn yearned to become a part of that larger society. Many traditional practices, though -- required items of clothing, or inability to engage in commerce on Saturdays -- stood in the way. It was at this time that the Reform movement of Judaism was born, with rhythms that fell more into line with the larger culture.