Recalling Isaiah’s job (according to Albert Nock in his essay) to encourage the remnant, Isaiah 13 seems to be doing that. Babylon is nasty and will deport Judah to Babylon. But Babylon will get theirs in the end:

The oracle concerning Babylon which Isaiah the son of Amoz saw. On a bare hill raise a signal; cry aloud to them; wave the hand for them to enter the gates of the nobles. I myself have commanded my consecrated ones, and have summoned my mighty men to execute my anger, my proudly exulting ones…Behold, I am stirring up the Medes against them, who have no regard for silver and do not delight in gold. Their bows will slaughter the young men; they will have no mercy on the fruit of the womb; their eyes will not pity children. And Babylon, the glory of kingdoms, the splendor and pomp of the Chaldeans, will be like Sodom and Gomorrah when God overthrew them. (Isaiah 13.1 – 3, 17 – 19, ESV)

“Behold, I am stirring up the Medes against them…” Daniel records Babylon’s demise:

That very night Belshazzar the Chaldean king was killed. And Darius the Mede received the kingdom, being about sixty-two years old. (Daniel 5.30, ESV)

Kings and kingdoms are temporary. Especially those who persecute God’s people.

And in the days of those kings the God of heaven will set up a kingdom that shall never be destroyed, nor shall the kingdom be left to another people. It shall break in pieces all these kingdoms and bring them to an end, and it shall stand forever. (Daniel 2.44, ESV)

Rise, take the child and his mother and go to the land of Israel, for those who sought the child’s life are dead. (Matthew 2.20, ESV)