In my parish, I was taught in RCIA and a 50th anniversary V2 session that the Church is the People of God. It is a very ecumenical term. It was a very important "change" made by V2. Baptism from other denominations were now recognized. The Spirit of V2 was one of more tolerance and acceptance of differences with non-Catholics. 
Tri, you seem to love the documents you quote but not the Spirit that leads us to reconciliation with our bothers and sisters in Christ. Love and understanding will bring us together not uniformity in doctrine. Jesus did not teach doctrine. He taught love, compassion, forgiveness,...