The irony is that in the Latin Rite, the married priests the Catholic Church accepts, are generally refugees from other denominations, men who are fleeing churches who ordain homosexuals and women. And generally, they are far more conservative than the celibate priests are.

The Eastern Rites of the Catholic Church, like the Orthodox churches, have always had married clergy.

But yes, most Catholic organizations that campaign for ordination of women and homosexuals, also campaign for an end to the celibacy requirement. In the US, the primary organization supporting these causes is Call to Action. I don't belong to Call to Action, but I've participated in many of their activities.

-Joe-