well, i read a book which made a good analogy about how what is commonly called the "age of pisces" had a good phase of about 1000 years and then a bad one... we are coming to the end of the bad half of that cycle... the kingdom you speak of could be called the age of Jesus, and gave us the Catholic church and about 1000 years of relative peace, which are incorrectly described as primitive and dark, the "dark ages"
but actually as more is discovered about that period, roughly 0-1000AD, was actually better, and a lot of great things happened that didn't involve governments or violence.
and since then we have had the "enlightenment" and the emergence of the liberal democratic state and then the horrors of WW1, WW2, and the Forever Wars of recent past.
but it most certainly specifies in Genesis, Daniel and Revelation at least, that a time would come again when the righteous would be harvested and the sinners would be condemned to be left on earth as it gets literally set on fire.
if you read Revelation with this timeline of the thousand years of Christ and the rise of Babylon and then the Judgement, somewhere around 16 or 17 starts to refer to current times, and what goes before refers to the time between John and our time.