In addition it is from this war that that Israel will burn the weapons for 7 years. After God destroys the surrounding enemies at the end of the millenial when satan is released, we have the great white throne judgment and eternity/new earth/new jerusalem...there wont be 7 years of burning weapons before that.
By the way, the bold-faced part of what you said is not necessarily true.
Revelation 20:1-15
"And I saw an angel come down from heaven, having the key of the bottomless pit and a great chain in his hand.
And he laid hold on the dragon, that old serpent, which is the Devil, and Satan, and bound him a thousand years, And cast him into the bottomless pit, and shut him up, and set a seal upon him, that he should deceive the nations no more, till the thousand years should be fulfilled: and after that he must be loosed a little season. And I saw thrones, and they sat upon them, and judgment was given unto them: and I saw the souls of them that were beheaded for the witness of Jesus, and for the word of God, and which had not worshipped the beast, neither his image, neither had received his mark upon their foreheads, or in their hands; and they lived and reigned with Christ a thousand years. But the rest of the dead lived not again until the thousand years were finished. This is the first resurrection. Blessed and holy is he that hath part in the first resurrection: on such the second death hath no power, but they shall be priests of God and of Christ, and shall reign with him a thousand years.
And when the thousand years are expired, Satan shall be loosed out of his prison, And shall go out to deceive the nations which are in the four quarters of the earth, Gog and Magog, to gather them together to battle: the number of whom is as the sand of the sea. And they went up on the breadth of the earth, and compassed the camp of the saints about, and the beloved city: and fire came down from God out of heaven, and devoured them. And the devil that deceived them was cast into the lake of fire and brimstone, where the beast and the false prophet are, and shall be tormented day and night for ever and ever. And I saw a great white throne, and him that sat on it, from whose face the earth and the heaven fled away; and there was found no place for them. 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. And the sea gave up the dead which were in it; and death and hell delivered up the dead which were in them: and they were judged every man according to their works. And death and hell were cast into the lake of fire. This is the second death. And whosoever was not found written in the book of life was cast into the lake of fire."
When the thousand years of Christ's Millennial Reign are fulfilled, or when the thousand years are expired, Satan shall be loosed out of his prison for "a little season". Who is to say that when Gog and Magog are judged that the great white throne judgment happens immediately thereafter? In other words, could there possibly still be seven more years after that which would still be a part of this "little season" until Satan himself is cast into the lake of fire? Or could there possibly be seven more years after Satan is cast into the lake of fire? You are assuming that the great white throne judgment happens immediately after the Gog and Magog battle, but does the text explicitly state that?
Again, I do not have all of the answers, but I know how to ask relevant questions.