I was raised to believe that 'Mormon' was a slur, and it's work for me to use the term as it is embraced by the Church of Jesus Christ of Latter-Day Saints as Latter-Day Saints. As a result, you may notice that I try to refer to members of the COJCOLDS as Latter-Day Saints or LDS. I find myself using the term "Mormon" to refer to fundamentalist offshoots of the COJCOLDS.
I try to refer to the Community of Christ as the Community of Christ, Strangites as Strangites, Bickertonites as Bickertonites, and so on. However, if someone wants to break Hedrickites down to Fettingites, Elijah Messengers, Hancockites, and Halley's Bluffers, I quit.