Unmistakable connections between 2 Nephi 30, Isaiah 65, and D&C 101

It just happened that I read these three chapters in the same week for a variety of reasons, and I noticed enough of the same elements to wonder if the three prophets who created these words were seeing a vision of the same thing. The passages are different enough that I don't think they are quoting each other, but similar enough that it is hard to dismiss these connections as mere coincidence.

Verses Grouped by topic
Common element	2 Nephi 30	Isaiah 65	D&C 101
Fire/new earth/new heaven	10 For the time speedily cometh that the Lord God shall cause a great division among the people, and the wicked will he destroy; and he will spare his people, yea, even if it so be that he must destroy the wicked by fire.	17 ¶ For, behold, I create new heavens and a new earth: and the former shall not be remembered, nor come into mind.	24 And every corruptible thing, both of man, or of the beasts of the field, or of the fowls of the heavens, or of the fish of the sea, that dwells upon all the face of the earth, shall be consumed; 25 And also that of element shall melt with fervent heat; and all things shall become new, that my knowledge and glory may dwell upon all the earth.
Animal language	12 And then shall the wolf dwell with the lamb; and the leopard shall lie down with the kid, and the calf, and the young lion, and the fatling, together; and a little child shall lead them. 13 And the cow and the bear shall feed; their young ones shall lie down together; and the lion shall eat straw like the ox. 14 And the sucking child shall play on the hole of the asp, and the weaned child shall put his hand on the cockatrice’s den.	25 The wolf and the lamb shall feed together, and the lion shall eat straw like the bullock: and dust shall be the serpent’s meat. They shall not hurt nor destroy in all my holy mountain, saith the Lord.	26 And in that day the enmity of man, and the enmity of beasts, yea, the enmity of all flesh, shall cease from before my face.
Redemption of the poor	9 And with righteousness shall the Lord God judge the poor, and reprove with equity for the meek of the earth. And he shall smite the earth with the rod of his mouth; and with the breath of his lips shall he slay the wicked.	18 But be ye glad and rejoice for ever in that which I create: for, behold, I create Jerusalem a rejoicing, and her people a joy. 19 And I will rejoice in Jerusalem, and joy in my people: and the voice of weeping shall be no more heard in her, nor the voice of crying.	27 And in that day whatsoever any man shall ask, it shall be given unto him.
Hidden knowledge revealed	16 Wherefore, the things of all nations shall be made known; yea, all things shall be made known unto the children of men. 17 There is nothing which is secret save it shall be revealed; there is no work of darkness save it shall be made manifest in the light; and there is nothing which is sealed upon the earth save it shall be loosed. 18 Wherefore, all things which have been revealed unto the children of men shall at that day be revealed; and Satan shall have power over the hearts of the children of men no more, for a long time. And now, my beloved brethren, I make an end of my sayings.		32 Yea, verily I say unto you, in that day when the Lord shall come, he shall reveal all things— 33 Things which have passed, and hidden things which no man knew, things of the earth, by which it was made, and the purpose and the end thereof— 34 Things most precious, things that are above, and things that are beneath, things that are in the earth, and upon the earth, and in heaven.
No death		20 There shall be no more thence an infant of days, nor an old man that hath not filled his days: for the child shall die an hundred years old; but the sinner being an hundred years old shall be accursed.	29 And there shall be no sorrow because there is no death. 30 In that day an infant shall not die until he is old; and his life shall be as the age of a tree; 31 And when he dies he shall not sleep, that is to say in the earth, but shall be changed in the twinkling of an eye, and shall be caught up, and his rest shall be glorious.
Satan has no power	18 ...Satan shall have power over the hearts of the children of men no more, for a long time.		28 And in that day Satan shall not have power to tempt any man.
Reference to temple/mountain/tabernacle	15 They shall not hurt nor destroy in all my holy mountain; for the earth shall be full of the knowledge of the Lord as the waters cover the sea.	25 ...They shall not hurt nor destroy in all my holy mountain, saith the Lord.	23 And prepare for the revelation which is to come, when the veil of the covering of my temple, in my tabernacle, which hideth the earth, shall be taken off, and all flesh shall see me together.