Thought about this post all day and haven't come up with a satisfactory (to me) thing to say...so I'll just put out a flawed thing. My impression based on my experience with (some) politically connected progressive Catholics is that... they disagree with the people in charge about birth control, they certainly don't personally disapprove of the use of birth control, yet... think public policy should still cater to the will of those in the hierarchy who they disagree with.
No I have not managed to make sense of this. Perhaps there is sense to be made, or perhaps I am just getting it wrong.