For those who follow the Lord Jesus Christ, being a member of His Church oughta be enough.
The Church you have described is referred to in the New Testament as "The Church of God"......never as the Universal or the Catholic Church. Now as an engineer you should be able to follow this logic.
[John 17:11] And now I am no more in the world, but these are in the world, and I come to thee. Holy Father, keep through thine own name those whom thou hast given me, that they may be one, as we are.
Where does this say to call them Catholics, Protestants, Mormons, Jehovah Witnesses, etc? It says to keep them in the name of God!
[Acts 20:28][I Corinthians 1:2][I Corinthians 10:32][I Corinthians 11:16][I Corinthians 11:22][I Corinthians 15:9] [II Corinthians 1:1][Galatians 1:13][I Timothy 3:5][I Timothy 3:15][I Thessalonians 2:14][II Thessalonians 1:4]
Only once in scripture is the body referred to as the Church of Christ [Romans 16:16]. All other references are "Church of God" i.e. the New Testament Church!
You Romans are late comers as your organization began as the "Imperial Church of The Roman Empire".....and in no way, shape or form could ever be confused with the actual "New Testament Church of God"!
You'll look in vain for that name anywhere in history.
Don't play the "Church of Christ" name game. Someone can call their church whatever they want to call it, but calling it the "Church of Christ" or the "Church of God" doesn't make it the NT church, anymore than calling an orange an "apple" makes it the apple William Tell shot off his son's head.
Playing pretend games with names isn't a substitute for real historical scholarship.
But for what it's worth (IMO, not much), the Catholic Church, in her official documents, quite frequently refers to herself as the "Church of Christ" and also as the "People of God".