A modern Catholic dilemma?

This is the title of a thoughtful post at Stella Maris, written in response to A modern Anglican dilemma.

I have always felt uncomfortable with the idea that there are different "models of the Church", always preferring the thought that there are a number of different ways in which we talk about the Church (People of God being one among them), each of which can draw our attention to a different aspect of the one reality that is the Church. The full picture is achieved by holding in balance all these different ways of talking - or, in the context of Stella Maris' post, by including the chapter from Vatican II's Lumen Gentium on the hierarchical nature of the Church as well as that on the people of God in our living of the Catholic faith.