"The liturgy gathers in prayer all those who seek to listen to the Gospel without discarding anyone; it summons the great and small, rich and poor, children and elderly people, healthy and sick, just ones and sinners."
In my opinion, this is the idea it's so hard for us to understand: it's the power of the gospel, illuminating and illuminated by the liturgy, that calls us to conversion. Conservatives often fail to understand that the gospel can't reach everyone unless we welcome them all and trust the gospel to work through them. Liberals often fail to understand that even when we welcome everyone, we're all called to reform our lives, not the meaning of the gospel.
The Catechism has no power of its own and remains lifeless apart from the gospel and liturgy. Social justice is secular work unless it flows from and into the proclamation of the gospel and celebration of liturgy. An inclusive church is one that welcomes everyone and challenges everyone.