The thing is, religion IS belief. If you don't believe in what the Roman Catholic Church teaches and believes ... why are you calling yourself a Roman Catholic? If priests are supposed to be celibate and you don't want to be celibate, then stop being a priest.
I've often wondered the same thing when I read articles like that. Especially if your religion of choice is one that teaches it is the "one true church" (Catholic, Eastern Orthodox, Oriental Orthodox, Mormonism). If you belong to a religion that says it's the one true religion and is led by God, and you think said church is teaching things that are outright and severely morally wrong ("they teach us to hate teh gayzz!"), you obviously don't actually believe your church is led by God.
At that point, why try to alter the religion you must obviously feel is false? Why not start your own religion that adheres to what you believe to be correct principles, or find one that already does?
I suppose some people like this perhaps feel that their church has gone astray/apostatized a bit and needs some correction, and view themselves as reformers? But in issues like homosexuality, female ordination, and other hot-button SJW vs Organized Religion issues, the church in question has likely pretty much
always taught things that way. If you feel your church/religion is wrong and was wrong from the beginning . . . why on earth are you staying in it, trying to alter it?
I suspect in most of these cases the people in question "identify as" Catholic, Mormon, whatever, but don't actually believe much, if any, of what is taught. They simply want the religion they identify as to conform to
their beliefs rather than the logical inverse. Or they're simply SJWs using their membership in a "patriarchal and oppressive" organization as an "in" to attack said organization.