If God permits the Pope to be an idiot/philanderer/liar/money-grubbing hedonistic jerk in person, then why was he elected pope? Because the church hierarchy is run by human beings. The pope and humanity as a whole have the responsibility of choosing the correct man for the job - God is under no obligation to accept whomever is thrown His way, nor can He be expected to “guide” the ill-elected pope to at least give correct answers on matters or doctrine. This goes for the magisterium as well. The job is to work out God’s will, not dictate it.
I find it hard to believe that God would guide the pope and magisterium to a particular point and allow the majority of laity, and a great deal of bishops and priests, to be misguided into grave sin. The poster above is true - before, the church was a community, now it’s just a dictatorship. Paul VI three times denied the conclusions of lay people, religious and clergy (apparently all badly misguided) in order to put his own personal views in place. It might be an old teaching (like women covering their heads - no longer practiced, BTW), but that doesn’t make it irrevocably right - at least not in all circumstances.
I have no guilt about taking birth control, and most of my Catholic sister Christians do not either. To suggest that we just jumped into the decision lightly without a thought would be a grave matter. We put thought and reflection into it - at least I did - and my conscience, throughout all the attempts to convince it otherwise I’ve put it through, cannot accept that birth control is immoral or wrong. If sex without procreation is a mortal sin, should I go to confession for every time I ate when I wasn’t hungry and didn’t need the food? For when I panted even though I wasn’t out of breath? When I used my toes to open a drawer instead of my hands?