I wonder what this line of discussion says about the Eastern Orthodox and the Patriarchs of Constantinople, Antioch, Alexandria, and Moscow, about Pope Tawardros and the Oriental Church, and about others who are not members of Protestant sects - like say the Anglican Church. All these Churches celebrate Baptism as integrally part of our life as Christians whereby we are called to be dead to sin and alive to God in Christ Jesus our Lord, and we are called to shine as a light in the world to the Glory of God the Father.
John 17:20-23
‘I ask not only on behalf of these, but also on behalf of those who will believe in me through their word, 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. The glory that you have given me I have given them, so that they may be one, as we are one, I in them and you in me, that they may become completely one, so that the world may know that you have sent me and have loved them even as you have loved me.
The matter in part comes down to how you are going to exegete the passage. On the one hand you have the capacity to establish a regime and say The Pope of Rome is the successor of Peter, therefore you must submit to him in all things and be part of his Church. To my mind this runs the risk of using scripture to support your position, rather than for illumination.
On the other hand we can acknowledge Christ's call for unity and look for ways to listen to what we are all saying, and find the ways through this tangled situation we call life, and build better friendships, and pray for one another, affirms and acknowledge one another, and support one another on the journey of faith and hope and love. To my mind this is a call for us all to understand the passage as a call to be Christlike.
I just quietly point out that I do not like the term
water baptism because I 'believe in one baptism for the remission of sins' as I publicly declare on a regular basis.