That's a really good analogy, IDP.
As a lapsed Roman Catholic, I took no offense to your words as much of what you wrote about the Church's complicity in the making of its current dilemma is correct. Probably why I'm lapsed. The men running the Church have caused me much anger over the years, and bewilderment. There are men, and women, with a particular politics and their own agendas.
Part of the problem is the difficulty in running a religious institution from across an ocean. Many of the Bishops and Cardinals here "interpret" doctrine as they see fit, according to their "consciences"; I've been unsure many times the source of what was issued, supposedly, from the Vatican or the Pope, and what it meant.
I think the "sexual revolution" caused much angst in the Church over how best to deal with it, and with women's hatred of the prohibition of conception control. I believe the Left had been slowly infiltrating the Church, but the 60s and 70s saw them gain an incredible foothold that continues to this day. Some of the seminaries were so overrun with homosexuals, one in particular, St. Mary's seminary, was dubbed "The Pink Palace", that a lot of good men chose to forego their calling in that manner. I think the Church yielded on some things in order that it could stand fast on others, but it should have stood fast on all of it and the people would have stood with it, conception control notwithstanding.
A Catholic, a good friend, recently pointed out that it is the younger priests now, not the ones ordained then, that are committed to Church doctrine. The old radicals are dying out and not a minute too soon.