Christian unity is something Christians need to work to keep, not work to create. The list of unifying factors mean nothing except our unity with each other is a by-product of our union with Christ.
This chapter is mandatory reading if you are to understand how God wants his people to work together. Notice first that the church works because of the victory of Jesus Christ from the dead. Part of his work is to win and distribute gifts to His church. The structure for the church is this: The church grows and is built by people who are served and equipped by pastor/teachers. Every part or ligament is important. The ministers are the people, not the pastors.