Preaching from the New Testament

I just finished Wright’s The New Testament and the People of God, and right at the end he said a few things about reading (and by proxy, preaching from) the New Testament:

"[The New Testament was written as] a play to be staged, that is, as a charter for a community, a set of books designed (in their very different ways) to fuel worship and witness."

I wonder, as we preach from the New Testament, in how many ways we use the New Testament inappropriately. Sometimes preachers are tempted to use the New Testament as a reference book of "proof-texts" to back up a presupposed theological structure. Sometimes preachers use the New Testament as though it were a book full of "godly principles" that are in the "code" of narrative and story, as though God really meant to give us a list of rules, but accidentally gave us these stories, and we have to crack the code and find the rules, so we can preach the rules. Sometimes in our personal study of the New Testament, we treat it like a magical book, where any phrase on any page could be God speaking to us, no matter how badly we wrench it out of context.
I’m not sure I really understand how to read and preach from the New Testament in a way that honors it and allows it say what it wants to say. Somehow our preaching needs to become more narrative, and as such more honoring of the New Testament itself.