Not being Catholic, I find the entire matter mostly amusing. If, however I was a devout Catholic, I would be really angry to learn about this information. A movement within the Vatican to promote left-wing social agenda items as official Church dogma is an offense to every single Catholic that believes the Bible (and until now, the Pope's words) is God's word and is not subject to being changed by the day-to-day whims of the secular political world.
It will be interesting to see what kind of fallout will occur now that this information is known. Will Catholics abandon the Church? Will they put enough pressure to expose this conspiracy and replace the Pope again? Or will they just sit back and accept that the Church is ordering them to do a complete 180 on critical (to Catholics) matters of faith? Given the fact that the more liberal churches tend to lose congregants as a result of liberal policies, I expect the response to be closer to the former than the the latter.