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Not one passage in the NT dealing with the Final Judgment even remotely suggests that men are judged by whether they explicitly acknowledge Jesus as Lord. Not one.

Judge for yourself ...
Revelation 20:12 And I saw the dead, small and great, stand before God; and the books were opened: and another book was opened, which is the book of life: and the dead were judged out of those things which were written in the books, according to their works.
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Revelation 20:15 And whosoever was not found written in the book of life was cast into the lake of fire.

Revelation 13:1 And I stood upon the sand of the sea, and saw a beast rise up out of the sea, having seven heads and ten horns, and upon his horns ten crowns, and upon his heads the name of blasphemy.
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Revelation 13:7 And it was given unto him to make war with the saints, and to overcome them: and power was given him over all kindreds, and tongues, and nations.

8 And all that dwell upon the earth shall worship him, whose names are not written in the book of life of the Lamb slain from the foundation of the world.
And who are these whose names are written in the Lamb's book of life ?
John 10:25 Jesus answered them, I told you, and ye believed not: the works that I do in my Father's name, they bear witness of me.

26 But ye believe not, because ye are not of my sheep, as I said unto you.

27 My sheep hear my voice, and I know them, and they follow me:

28 And I give unto them eternal life; and they shall never perish, neither shall any man pluck them out of my hand.

1 John 5:11 And this is the record, that God hath given to us eternal life, and this life is in his Son.

12 He that hath the Son hath life; and he that hath not the Son of God hath not life.

John 12:48 He that rejecteth me, and receiveth not my words, hath one that judgeth him: the word that I have spoken, the same shall judge him in the last day.

Acts 4:10 Be it known unto you all, and to all the people of Israel, that by the name of Jesus Christ of Nazareth, whom ye crucified, whom God raised from the dead, even by him doth this man stand here before you whole.

11 This is the stone which was set at nought of you builders, which is become the head of the corner.

12 Neither is there salvation in any other: for there is none other name under heaven given among men, whereby we must be saved.

Not one passage in the NT dealing with the Final Judgment even remotely suggests that men are judged by whether they explicitly acknowledge Jesus as Lord. Not one.

Why send missionaries? Why attempt to convert them

Jhn 14:6 Jesus saith unto him, I am the way, the truth, and the life: no man cometh unto the Father, but by me.

Act 4:12 Neither is there salvation in any other: for there is none other name under heaven given among men, whereby we must be saved.

1Jo 5:11 And this is the record, that God hath given to us eternal life, and this life is in his Son.

1Jo 2:23 Whosoever denieth the Son, the same hath not the Father: [(but) he that acknowledgeth the Son hath the Father also].

Jhn 3:36 He that believeth on the Son hath everlasting life: and he that believeth not the Son shall not see life; but the wrath of God abideth on him.

Jhn 11:25 Jesus said unto her, I am the resurrection, and the life: he that believeth in me, though he were dead, yet shall he live:

1Cr 3:11 For other foundation can no man lay than that is laid, which is Jesus Christ.

1Ti 2:5 For [there is] one God, and one mediator between God and men, the man Christ Jesus;