We are to go with the GOOD NEWS to EVERY creature, we are not to go preaching what will happen to those who reject it.
We most definitely should be warning people about their fate if they refuse the gospel, even as Jesus regularly did himself.
For example, in his "Sermon on the Mount", in which Jesus, after "seeing THE MULTITUDES", "went up into a mountain" (Matt. 5:1), he concluded by saying the following:
Matthew chapter 7
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24] Therefore whosoever heareth these sayings of mine, and doeth them, I will liken him unto a wise man, which built his house upon a rock:
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25] And the rain descended, and the floods came, and the winds blew, and beat upon that house; and it fell not: for it was founded upon a rock.
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And every one that heareth these sayings of mine, and doeth them not, shall be likened unto a foolish man, which built his house upon the sand:
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And the rain descended, and the floods came, and the winds blew, and beat upon that house; and it fell: and great was the fall of it.
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28] And it came to pass, when Jesus had ended these sayings,
the people were astonished at his doctrine:
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For he taught them as one having authority, and not as the scribes.
Here, Jesus clearly told his hearers that if they didn't do what he said in his sermon, then they were like foolish men whose houses were built upon the sand and which were headed for a great fall. The multitudes "were astonished at his doctrine" which he "taught them as one having authority", and here is some of Jesus' authoritative doctrine from this very sermon:
Matthew chapter 5
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21] Ye have heard that it was said by them of old time, Thou shalt not kill; and whosoever shall kill shall be in danger of the judgment:
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But I say unto you, That whosoever is angry with his brother without a cause shall be in danger of the judgment: and whosoever shall say to his brother, Raca, shall be in danger of the council: but whosoever shall say, Thou fool, shall be in danger of hell fire.
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23] Therefore if thou bring thy gift to the altar, and there rememberest that thy brother hath ought against thee;
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24] Leave there thy gift before the altar, and go thy way; first be reconciled to thy brother, and then come and offer thy gift.
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Agree with thine adversary quickly, whiles thou art in the way with him; lest at any time the adversary deliver thee to the judge, and the judge deliver thee to the officer, and thou be cast into prison.
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Verily I say unto thee, Thou shalt by no means come out thence, till thou hast paid the uttermost farthing.
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27] Ye have heard that it was said by them of old time, Thou shalt not commit adultery:
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28] But I say unto you, That whosoever looketh on a woman to lust after her hath committed adultery with her already in his heart.
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And if thy right eye offend thee, pluck it out, and cast it from thee: for it is profitable for thee that one of thy members should perish, and not that thy whole body should be cast into hell.
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And if thy right hand offend thee, cut if off, and cast it from thee: for it is profitable for thee that one of thy members should perish, and not that thy whole body should be cast into hell.
Here, Jesus clearly warned "THE MULITUDES" (Matt. 5:1) of hell-fire if they didn't obey his authoritative doctrine.
Again, he said:
Matthew chapter 7
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13] Enter ye in at the strait gate:
for wide is the gate, and broad is the way, that leadeth to destruction, and many there be which go in thereat:
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14] Because strait is the gate, and narrow is the way, which leadeth unto life, and few there be that find it.
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15] Beware of false prophets, which come to you in sheep's clothing, but inwardly they are ravening wolves.
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16] Ye shall know them by their fruits. Do men gather grapes of thorns, or figs of thistles?
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17] Even so every good tree bringeth forth good fruit;
but a corrupt tree bringeth forth evil fruit.
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18] A good tree cannot bring forth evil fruit,
neither can a corrupt tree bring forth good fruit.
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Every tree that bringeth not forth good fruit is hewn down, and cast into the fire.
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20] Wherefore by their fruits ye shall know them.
Here, while still addressing "THE MULITUDES" (Matt. 5:1) with his authoritative doctrine, Jesus clearly warned off two different "gates" and two different "trees", and how one led to life whereas the other led to destruction or to being hewn down and cast into the fire.
The Apostle Paul regularly warned his hearers as well.
In fact, here is what he said about his own ministry:
Colossians chapter 1
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21] And you, that were sometime alienated and enemies in your mind by wicked works, yet now hath he reconciled
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22] In the body of his flesh through death, to present you holy and unblameable and unreproveable in his sight:
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23] If ye continue in the faith grounded and settled,
and be not moved away from the hope of the gospel, which ye have heard, and which was preached to every creature which is under heaven; whereof I Paul am made a minister;
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24] Who now rejoice in my sufferings for you, and fill up that which is behind of the afflictions of Christ in my flesh for his body's sake, which is the church:
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Whereof I am made a minister, according to the dispensation of God which is given to me for you, to fulfil the word of God;
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26] Even the mystery which hath been hid from ages and from generations, but now is made manifest to his saints:
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27] To whom God would make known what is the riches of the glory of this mystery among the Gentiles;
which is Christ in you, the hope of glory:
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Whom we preach, warning every man, and teaching every man in all wisdom; that we may present every man perfect in Christ Jesus:
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29] Whereunto I also labour, striving according to his working, which worketh in me mightily.
While preaching "the hope of the gospel...which was preached to every creature which is under heaven" and whereof Paul was "made a minister", Paul not only preached "Christ in you, the hope of glory", but he also "WARNED EVERY MAN", and we should be doing exactly the same thing.
Why did Paul "WARN EVERY MAN"?
Because, unlike so many today, he knew "THE TERROR OF THE LORD".
II Corinthians chapter 5
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10] For we must all appear before the judgment seat of Christ; that every one may receive the things done in his body, according to that he hath done, whether it be good or bad.
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Knowing therefore the terror of the Lord, we persuade men; but we are made manifest unto God; and I trust also are made manifest in your consciences.
Anyhow, the entire Bible testifies AGAINST what you've said here in that it is LOADED WITH WARNINGS to both believers and non-believers alike from cover to cover.
Who has ears to hear, let them hear.