By Mister Curie
The Community of Christ (formerly known as the Reorganized Church of Jesus Christ of Latter-day Saints), which largely claimed to be the True church of Jesus Christ due to the belief that succession rights of the Prophet were through the lineage of Joseph Smith rather than through the Quorum of the 12 Apostles (as contrasted with the LDS church based in SLC), recently received and approved a revelation granting full membership rights to gay members, including gay marriage. This adds Section 164 to their Doctrine and Covenants. Further details on this momentous occassion are available on the blog By Common Consent. The actual wording of the revelation now known as D&C 164 can be read here.
Of note, the Community of Christ extended Priesthood rights and responsibilities to women in 1984 in D&C 156.
A fascinating podcast on the Succession crisis in the LDS church that lead to the different branches can be listened to at the following links:
http://mormonstories.org/?p=792 (Part I)
http://mormonstories.org/?p=801 (Part II)
I suspect that the LDS church will grant Priesthood rights to women before they fully accept homosexuals, so if we use this timing as a guideline, approximately 26 years after women get the Priesthood, gays will be able to get married and be fully accepted in the LDS church.