For what it's worth, a major source of annoyance for traditionalist Catholics is that there are many people who identify themselves as Catholic but don't subscribe to the more controversial moral teachings of the Church. It's probably about 50/50, just like the rest of American society.
It is also a major annoyance for progressive Catholics, that traditionalists pick and choose which Church teachings they agree with. Immigration being a big example. Also working towards the "common good" is something conservative Catholics balk at. And they dismiss the Pope's encyclical on respect for the environment, and some even don't think the Pope is a good pope. Let's face it, both sides pick and choose. The Catechism is hard to live by fully.
