All Christians Believe in Infallibility

Here, friends, is the evidence that every Biblicist Christian is also bound to believe in the infallibility of the Church:

Therefore God sends upon them a strong delusion, to make them believe what is false, so that all may be condemned who did not believe the truth but had pleasure in unrighteousness.

But we are bound to give thanks to God always for you, brethren beloved by the Lord, because God chose you from the beginning to be saved, through sanctification by the Spirit and belief in the truth. To this he called you through our gospel, so that you may obtain the glory of our Lord Jesus Christ. So then, brethren, stand firm and hold to the traditions which you were taught by us, either by word of mouth or by letter.

(source: 2 Thessalonians 2 RSVCE)

And if those days had not been shortened, no human being would be saved; but for the sake of the elect those days will be shortened. Then if any one says to you, ‘Lo, here is the Christ!’ or ‘There he is!’ do not believe it. For false Christs and false prophets will arise and show great signs and wonders, so as to lead astray, if possible, even the elect. Lo, I have told you beforehand. So, if they say to you, ‘Lo, he is in the wilderness,’ do not go out; if they say, ‘Lo, he is in the inner rooms,’ do not believe it. For as the lightning comes from the east and shines as far as the west, so will be the coming of the Son of man. Wherever the body is, there the eagles will be gathered together.

(source: Matthew 24 RSVCE)

There is a natural and final inevitability: whatever the intermediate-term complications may be, in the end the Body of Christ, in several senses, is a definitive and unfailing unity.  Everyone who believes that Christ Himself, and the recorded witness to Christ in the Scriptures, speaks truly, must believe that it is not “possible” for even the most extreme deception possible “to lead astray…the elect.”

Whatever Catholics believe about Apostolic Succession, about the principle Ubi episcopus ibi ecclesia, about the infallibility of ratified ecumenical Councils, about the infallibility of the ex cathedra decrees of the Pope, or about the infallibility of the sensus fidelium fidei, these sources of dogma all have their solid foundation in the authority of Christ, who warrants that the Church will not finally be apart from Christ:

He said to them, “But who do you say that I am?” Simon Peter replied, “You are the Christ, the Son of the living God.” And Jesus answered him, “Blessed are you, Simon Bar-Jona! For flesh and blood has not revealed this to you, but my Father who is in heaven. And I tell you, you are Peter, and on this rock I will build my church, and the powers of death shall not prevail against it. I will give you the keys of the kingdom of heaven, and whatever you bind on earth shall be bound in heaven, and whatever you loose on earth shall be loosed in heaven.”

(source: Matthew 16 RSVCE)

For I am sure that neither death, nor life, nor angels, nor principalities, nor things present, nor things to come, nor powers, nor height, nor depth, nor anything else in all creation, will be able to separate us from the love of God in Christ Jesus our Lord.

(source: Romans 8 RSVCE)