On your site you state:-“One day soon, the King of the Medes will again lead a vast army against Babylon, and this time her destruction will be complete, and the Lord’s words will be fulfilled” However, Revelation 17:16-17 says “And the ten horns that you saw, they and the beast will hate the prostitute. They will make her desolate and naked, and devour her flesh and burn her up with fire, for God has put it into their hearts to carry out his purpose by being of one mind and handing over their royal power to the beast, until the words of God are fulfilled.” According to your logic, the end time Medes are the beast and the 10 horns. Does not quite fit.
End Times Babylon consists of three components, religious, commercial and governmental. They will all be headquartered in the City of Babylon. From the context of Rev. 17:16-17 you can see that the so-called prostitute being destroyed is the religious component. Both Isaiah 13:17 and Jeremiah 51:11 speak of the end times destruction of the city by a large force led by the Medes, who we know today as the Kurds. It fits just fine.