OK, there's quite a bit to unpack in your post here. Not a greater but a parallel authority which supplements and (for them) accurately interprets the Bible. Do you see the difference? There's also the issue of 'the Bible as final authority' - I have no quibble with that in theory subject to the rider of "as interpreted by whom, exactly?"
Not by the Magesterium; not by the Pope; not by the early church fathers; not by the local priest; not by Oral Tradition or any other tradition, etc. The Bible itself is its own authority.
These were more noble than those in Thessalonica, in that they received the word with all readiness of mind, and searched the scriptures daily, whether those things were so. (Acts 17:11)
To the law and to the testimony: if they speak not according to this word, it is because there is no light in them. (Isaiah 8:20)
All scripture is given by inspiration of God, and is profitable for doctrine, for reproof, for correction, for instruction in righteousness: (2 Timothy 3:16)
Study to shew thyself approved unto God, a workman that needeth not to be ashamed, rightly dividing the word of truth. (2 Timothy 2:15)
Knowing this first, that no prophecy of the scripture is of any private interpretation. For the prophecy came not in old time by the will of man: but holy men of God spake as they were moved by the Holy Ghost. (2 Peter 1:20-21)
The "private interpretation" spoken of above refers to one church's or one organization's interpretation, such as the RCC or the J.W.'s or the Mormon's interpretation. I suppose that is why you find variety among the Baptist, which is not necessarily wrong. The key and most important distinctive is "The Bible is the final authority in all matters of faith and practice." To that end we take the commands of Scripture seriously. For example, as stated above:
"Study to show yourselves approved..."
is given to every believer, not just the priests and the RCC hierarchy.
Jesus also said to the elite hierarchy of his day:
"Ye do err not knowing the Scripture, neither the power of God."
We are commanded to know the Scripture--all of us.
We are commanded to know the Scripture well enough to give an answer from it to all that ask us:
But sanctify the Lord God in your hearts: and be ready always to give an answer to every man that asketh you a reason of the hope that is in you with meekness and fear: (1 Peter 3:15)
--The Church, priests, magesterium, Catechism, etc. cannot do that for me. I must do it myself. I must study the Bible on my own, and allow the Holy Spirit to guide me. There are no contradictions in the Bible. And though you won't believe me there are less contradictions between believers in the entire realm of evangelical Christianity than there is between the various sects of Catholicism. The claim has always been why is there so much division between "protestants"? There isn't. There is more doctrinal unity, especially in the area of soteriology, than there is in Catholicism
among evangelical Christianity. Note that even you did not count the modernists as Christians. So I do not count them in this group either.
And to Scripture, which they see as in harmony with the ECFS and the Catechism. You don't see them as in harmony, they do. You say they're worng, they say you're wrong. Now what?
But they are not in harmony. Speak the truth. You said: "They
see in harmony with..." They can see green as blue, but it isn't. They are deceived. Origen was a heretic even by Catholic standards. Many of the early heresies were brought in by the ECF, heresies which the RCC still hold to: transubstantiation, baptismal regeneration, purgatory, etc. They will try to defend these, but cannot--not by Scripture alone. So the argument is circular. They have to rely on other authorities (authorities that go contrary to the Bible) in order to support unbiblical doctrines. They cannot support such doctrines by the Bible alone.
That certainly hasn't been the case since Vatican II and I'm not sure was really the case before entirely either: they have always had four Scripture readings at every Mass (which is three more than at any evangelical service I've recently been to!) and I have my RC mother's old Douai-Rheims Bible, which states in the preface that "Catholic faithful are promised a plenary indulgence for every time they read the Holy Scriptures"!
In times past we were never encouraged to read the Bible.
Be that as it may, there are four readings of Scripture at each mass. So what? They are never expounded upon. The people don't know what they mean. They are dull of hearing. There is no study. A simple reading of a few verses here and there does very little for the congregation.
Take this example from the OT:
And
Ezra opened the book in the sight of all the people; (for he was above all the people
and when he opened it, all the people stood up: And Ezra blessed the LORD, the great God.
6 And all the people answered, Amen, Amen, with lifting up their hands: and they bowed their heads, and worshipped the LORD with their faces to the ground. ...
8So they read in the book in the law of God distinctly,
and gave the sense, and caused them to understand the reading. (Nehemiah 8:5-8)
--Ezra did not just read. He gave the sense; the meaning of the Scripture. He caused them to understand what it meant. That is expository preaching. That is what preachers do today. We make it easy on our people. If you read the passage, all the people in Ezra's day so reverenced the Word of God, that they stood to hear it read, and expounded upon.
The result:
And Nehemiah, which is the Tirshatha, and Ezra the priest the scribe, and the Levites that taught the people, said unto all the people, This day is holy unto the LORD your God; mourn not, nor weep.
For all the people wept, when they heard the words of the law. (Nehemiah 8:9)
--There was genuine repentance.
Reading a few words here and there in the Mass is fruitless.
Not quite: most of their doctrines go against your interpretation of the Bible. Agai9n, do you see the difference?
The basic message of the Bible is "salvation by grace through faith," and that justification is by faith alone. The Catholic Church stands in direct opposition to this saving message of the gospel, gives a false gospel of works, works that cannot save, and thereby directs people down a path that leads to hell. They can disagree if they want. I disagree with Jim Jone's interpretation also. But the eternal result is the same. The only difference is the end result came quicker with Jim Jones.