I agree with you. I also believe that 'His Church' may, in the future, no longer be identified with Rome, but with Him.
That anti-traditionalist Catholic monk named Martin Luther tried to 'Reform' the Catholic Church back to Christ's teachings. Failing in convincing the 'church fathers', his continued 'protestings' got him associated with the 'Reformation' and those Protestant types.
The 'fellowship of believers' are known by their love, not their building or hierarchy.(i.e., Mother Theresa--having nothing and yet having everything, as compared to those who have everything and have nothing).
Blessings from your brother in 'His' church.