Continuity of doctrine. LOL. There is little continuity, but never mind that, I’m not going waste time arguing history with you. For the sake of argument I’ll assume there has been doctrinal contuiity, even so, continuity doesn’t prove truth. Truth can only be measured by the Scriptures. Please become a Berean and compare what the Word of a God says to the doctrine and practices of your church.
May the Lord bless you.
Here’s the testimony of a former priest from Ireland.
http://www.bereanbeacon.org/new-gallery/2015/5/31/a-catholic-priest-is-biblically-saved
I can’t follow his whole rant, but as I understand it the happenings at Fatima were witnessed by thousands of people (many of who were skeptics) and they came away shaken, terrified...and believing.