I know that virtually nothing in scripture envisions the contemporary, institutional, denominational “church” or even the church of the Third or Fourth centuries and beyond.
Sorry, I didn't read on to see you had clarified. Acts 15 certainly describes the church that I inhabit. The rest of the New Testament does as well. Your mileage may vary on that, but one of the things that made me decide that the Orthodox Church was worth looking into was that I read the Bible and it seemed to describe everything we do, our structure, our approach to doing theology, our formal structure -- all of it. As Steve Robinson once quoted someone (I forgot who), "the Orthodox Church is all the passages in your Bible you didn't underline." But for me, it was also a lot of passages I did underline.
Having said that, I don't think the Bible describes a church so far removed from the Lutheran Confessions either. I always said when I was Lutheran that the Confessions describe a church, not a disparate group of people all claiming to believe in "the Bible" with no reference or framework for what the Bible means. So perhaps it is the case that others here read the Bible and they also see something similar to what I see. The Lutheran Confessions, as I read them, describe a continuation of the Western Catholic Church, not a split from it. Whether the Confessions are right or wrong on that point is, I suppose, open to debate, but I have no need to debate it, because the Confessions are what define Lutherans. Whether the LCMS or ELCA structures are faithful to that is also, I suppose, open to debate, but I know in the LCMS the pastor-as-bishop understanding cleans up a lot of what otherwise might be unclear (because in the beginning, all of what we now call priests or presbyters or pastors were bishops). I'm not sure how the ELCA glosses things.
In any event, if you look at the Scriptures, and you don't recognize your church, then let me suggest it is your church, not the Scriptures, that are the problem. Granted, our ecclesiology is different, but I read the Scriptures and I see us. Perhaps it would do you well to ask why you read them and don't see you.