It certainly can be confusing! We have both ends of the spectrum as far as liturgy, and both ends of the spectrum as far as obedience to the Church. Since the Novus Ordo and the Latin Mass are two paths to the same sacrifice, this should not be considered the difference between liberal and conservative. Some try to make it so, but they are simply wrong, IMO. Traditional vs. modern in forms of liturgy is a difference in personal preference, and does not determine or affect on the piety or obedience of the practitioners. Both forms have solidly obedient members, and both forms have the “slackers”. In fact, the labels liberal and conservative are more political than religious. In Catholicism, we can have only obedient or disobedient Catholics. Many will dispute this, but either you believe and submit to all that the Church teaches, or you do not. If you disagree with Church teaching, you will have to take it up with Raymond Cardinal Burke.
My view of liberal Catholics is those who tend to pick and choose their doctrines. As well, they tend to gravitate toward the social justice end of the spectrum, oftentimes following liberal-progressive and/or partisan democratic political doctrines as to how such justice is obtained. They tend to vote political party more than Church teaching, justifying their votes by engaging in mental gymnastics to arrive at their usually pro-choice choices.
In becoming Catholic, and then diving more deeply into my faith, I have changed my thinking on numerous moral and political issues. In my experience, liberal Catholics seem to have more difficulty in doing that, or in simply embracing diversity in prudential judgment as to how we implement Church doctrine.