You have asked if there is unity of the faith among the apostolic churches around the world and the answer is, only in the most minimal way. All apsotolic churches would agree that God is one; that God was manifested in the flesh; that the fulness of the Godhead dwells in Jesus Christ; and that a person must repent and be baptized in the name of Jesus Christ to be saved. Aside from that, there is very little unity of doctrine and practice, and there is certainly no central governing administration. Today there are over one hundred apostolic organizations.
One of the themes of this website is the need for the restoration of the equipping gifts of Ephesians 4:11-12. The Bible says that Jesus has given apostles, prophets, evangelists, pastors, and teachers to the church so that every member can be equipped for ministry, that the body may grow and be strong. This work is to continue until 'we all come to the unity of the faith and of the knowledge of the Son of God, to a perfect man' (Ephesians 4:13). We believe that the first step toward coming to the unity of the faith is each assembly learning how to recognize these five equipping gifts and allowing their operation. Until that happens the church will remain doctrinally fractured.