Disciples: Trinitarian Polity w/o the Trinity?

As a faith community, the Christian Church (Disciples of Christ) has taken a non-creedal approach to our theology and belief systems.  Thus, we have looked to Scripture, and primarily the New Testament for our norms.  Nicea may have things to teach us, but Nicea is not defnitive.  Since the New Testament lacks the kind of definitive statement like the one we find in the Nicene Creed, then have left the issue open-ended. This open-endedness allowed the Trinitarian Alexander Campbell to share fellowship with the Arian Barton Stone.  Both agreed that since the New Testament doesn't use the word, then they'll not press the issue. [For a fuller discussion of this see my article on Christology in the The Encyclopedia of the Stone-Campbell Movement, (Eerdmans, pp. 204-206).]

That being said, we have a polity, a statement of a relationship existing between congregation, region, and general church.  We affirm that each is equally church, but also equally distinct.  We assert that the relationship that links the three is covenantal.  The Design of the Christian Church (Disciples of Christ) reads:  

  Within the universal Body of Christ, the Christian Church (Disciples of Christ) is identifiable by its testimony, tradition, name, institutions, and relationships. Across national boundaries, this church expresses itself in covenantal relationships in congregations, regions, and general ministries of the Christian Church (Disciples of Christ), bound by God’s covenant of love. Each expression is characterized by its integrity, self-governance, authority, rights, and responsibilities, yet they relate to each other in a covenantal manner, to the end that all expressions will seek God’s will and be faithful to God’s mission. 

But how is this covenant expressed theologically?

I know that there are many Disciples who are averse to Trinitarian thought.  Some inhabit my congregation.  They are, in this case, followers of Barton Stone.  I, on the other hand, remain committed to a Trinitarian understanding of God.  I recognize that the philosophical underpinnings of Nicea are outdated.  Most of us are no longer Neo-Platonists, so the idea of substance and person, as defined at Nicea are problematic.  But in recent years much thoughts has been given to the Trinity.  And I believe that we might benefit from this thinking as we seek to understand our relationship as one church in three expressions.  I'm going to have to lay this out in spurts, but I'd like to suggest that a social doctrine of the Trinity, as understood by Jurgen Moltmann, among others might be of assistance to us.  

The social doctrine of the Trinity is relational in nature.  Rather than positing one divine substance expressed in three distinct persons, the unity of persons is discovered in their relationship.  Doctrinally, the key is the idea of perichoresis, or mutual indwelling.  Moltmann writes:

The unity of the trinitarian Persons likes in the circulation of the divine life which they fulfill in their relationships to one another.  This means that the unity of the triune God cannot and must not be seen in a general concept of divine substance.  That would abolish the personal differences.  But if the contrary is true -- if the very difference of the three persons likes in their relational, perichoretically consummated life process -- the the Persons cannot and must not be reduced to three modes of being of one and the same divine subject.  The Persons themselves constitute both their differences and their unity.  [Moltmann, The Trinity and the Kingdom, p. 175].

So, here's my question -- as we struggle to figure out how Congregation, Region, and General Church exist, so that each is fully church and yet each has its own existence, could we not consider that each is fully church when it recognizes the mutual indwelling of the other expressions.  Pushing this further, since Moltmann speaks of this relationship being love, is the church in each of its expressions (and I could a fourth -- the ecumenical expression) truly church when the mutual relationship evidences itself in love?  

I know I need to do more with this, but I'm hopeful we can have a conversation about what might be missing in our theology of the church.