It is not possible to define Church as deification. Deification is an ascetical act, or rather, the fruit of ascetical life, that brings one into communion with Christ himself. It is not a thing, or a group, or a community, or an identity: it is an act of communion with and in Christ. The Church is this Christ's body, which feeds and fosters this process of deifying life through Christ's presence in his creation. The moment we start calling the Church deification, Christ is fundamentally depersonalised. INXC, Dcn Matthew
In addition to Fr Matthew's comments, I would also like to emphasize that the incarnate Christ is not an angel. The angels are a distinct creation and are by definition non-corporeal, thus it is not possible for an angel to be incarnate and remain an angel - it would be a violation of his very nature. The Incarnate Christ is true God of true God and fully man as well - no mention of "angels" here.
From the above: The only father I know of to speak of Christ explicitly as angel is St Justin the Philosopher (second century), who uses this title for the Word at various places.
As such, it seems problematic to speak of 'the Angel now known as the Incarnate Christ', as this seems to speak of a type of being: one who is an angel, then becomes incarnate.