The Pope might be ok with it, but then again he's not the average Pope and is/is trying to break away from quite a bit of tradition regarding Catholic stance on social issues. Not exactly bringing along the adoring masses either, unless you count those who aren't Catholic in that. His own flock doesn't exactly square up with what he's trying to do.
It's not anywhere close to going through a reformation, especially not in the manner in which that particular word has historically been used.