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What's the solution for unity... are we all equal in Christ now... therefore, we can have unity?
We are equal to the extent that we all relate to the Head by being baptized into Him.
Rom 6:2-4
3 Do you not know that all of us who have been baptized into Christ Jesus were baptized into his death? 4 Therefore we have been buried with him by baptism into death, so that, just as Christ was raised from the dead by the glory of the Father, so we too might walk in newness of life.
We are made partakers of His grace, and members one of another. Baptism creates our mystical union with Him, and therefore, with each other.
Unity is achieved by adherance to the Truth.
John 17:17-22
17 Sanctify them in
the truth; your word is truth. 18 As you have sent me into the world, so I have sent them into the world. 19 And for their sakes I sanctify myself, so that they also may be
sanctified in truth.
20 "I ask not only on behalf of these, but also on behalf of those who will believe in me through their word, 21
that they may all be one. As you, Father, are in me and I am in you, may they also be in us, so that the world may believe that you have sent me.
To the extent that some depart from the Truth, unity is wounded.
I believe the cross is the great equalizer which should enable all of us to unite as one.
Yes, this is what the Apostle means when he writes that we have been baptized into His death.
And FYI:
The teaching authority of the CC is called the
Magisterium, after the Latin for the office of of a supervisor, office of tutor or guardian, instruction, or master.
Jesus entrusted the message of the Gospel to His apostles, and they to their successors, the Bishops. These bishops, in unity with the successor of Peter, today form the teaching authority appointed for the One Flock by Jesus.