Yes and no. To simply lump the gay community, women, and other minority communities into one group of “others” would not be completely sensitive to the individual needs, struggles and histories of each movement. The fight for women’s rights implies different changes than, say, the fight for gay rights. These struggles need to be recognized as separate problems to meet their separate needs.
That being said, I do believe that to believe in one form of this equality should necessitate a belief in others. While one should believe in equal rights for, say, the African American/black community, they should not then neglect rights for the gay community. A belief in equality necessitates a belief in these causes, but to lump these causes into one giant blanket “equality” movement would too quick diffuse and confuse the individual issues of each party.
Just my two cents.