Rabbi Ari Goldwag notes, in my reformulation, that 5727 was year ט of the 100th Machzor Katan since Churban Bayin Sheni. The 99th such year ט was 5708, the year the State of Israel was declared. As I wrote three years ago, there was a count that reached 500 in 5727.
The world is not Hefker. In a hidden way, the Hand of HaShem is leading us to the Geula. He controls human history in a very precise way, just as He controlled the evolution of life in a very precise way. Regarding the latter, many think that evolution is about random mutations and selection of the fittest. On the surface, it seems like that. However, know that "random" is a mathematical abstraction. It does not exist in this world. It does not even exist in Quantum Mechanics...
Finally, a remark to Rabbi Goldwag. In my understanding, the climax of the leap years is not the 19th year of the cycle, but rather the 8th year, year ט, the year of the latest Pesach. Yom HaAtzma'ut and Yom Yerushalayim show it. The next such year is 5784, unless we change the calendar.