It’s true, the Church is split. Just like the rest of the Faith. In a nutshell, it has to do with revelation or inspiration. Many on the Left, including Catholics, tend to accept that the Scriptures, the teachings, and the Church itself are man made. Inspired in the sense of a brilliant idea or a beautiful piece of music perhaps, but still from the mind of man.
Just who wins out in the battle for the mind of the Faith remains to be seen. But that it is a split down Church lines is difficult to deny.