These dates were not cherry-picked. Most of the ancient dates were taken from a main timeline of Roman history (reference
The Tutorial History of Rome by Allcroft and Mason, also an accessible crib at
http://www.forumromanum.org/history/morey01.html ). The modern correlates are simply main events with an apparent synchronicity across the 2147 year gap. The OP list is quite rough as a first indicative effort and needs considerable refinement. The expectation of patterns is based on the claim that this 2147 year period is a main cosmic cyclic structure for the planet, with a real natural physical basis. This specific pattern here derives mainly from comparison of the USA and Rome as leaders of the Western world in their day. This leadership has complex ecological and historical roots, which I suggest can usefully be analysed against the cycle of precession, giving an apparent cosmic explanatory dimension.
My view is that these parallels reflect an actual deep pattern in time, revealing how the complex structures of human life have an ordered basis in cosmic ecology. The causation is highly complex, so the times of resonant events may often be out by a few years, and linked energies will manifest in different ways. The modern equivalents, in this initial rough presentation, could range from the USA narrowly considered to western civilization as a whole, or key figures such as Oliver Cromwell. The hypothesis is that comparison of the shape of ancient and modern history against the natural precessional cycle is interesting and fruitful, displaying strong apparent synchronicities.
The process of historical comparison outlined here is based on an observation by Dane Rudhyar that Alexander’s feats match those of Napoleon at equivalent points in the cycle of precession. In using this idea I am not trying to defend all of Rudhyar’s ideas, as I think he mixes good and bad – some readers here may be disposed to see this theory among the latter!

Looking at the Alexander-Napoleon parallel , it is apparent that the modern and ancient worlds of these periods shared major similarities at dates 2147 years apart, corroborating the underlying cyclic theory. Rudhyar’s claim about Napoleon and Alexander can be expanded to compare the ancient Greek conquest of the Middle East to Europe’s conquests of Africa and Australia, as well as Napoleon’s abortive Russian venture and the steady geographical growth of settlement in North America. (323BC=1824AD)
Based on this initial apparent similarity suggested by Rudhyar, my next step was to test the claim against a time line of main Roman events. The OP data presents the following narrative. Rome and the Americas were founded at broadly the same time in the 2147 year cycle. The Roman story is shrouded in the Romulus city myth. The American discovery presents no obvious direct ancient correlate with 1492 (=655BC), but that may reflect lack of records of this period. The next phase is much clearer. Expulsion of the Kings of Rome and establishment of the republic happened in the precise phase when England abolished the monarchy and the free settlers expanded from Plymouth Rock (510BC=1637AD). Next again for both America and Rome was consolidation of the future world power against local indigenous landowners. The Roman consolidation of power over Latium and Italy corresponds with establishment of the thirteen states of the union and subsequent manifest destiny period. The end of the Latin War in 338BC correlates to 1809AD, marking broad parallel processes of state formation.
This basis in national power then enabled state expansion and conflict with other world powers. A most interesting correlate is that Carthage was a world power challenging Rome at the point in the cycle that Germany challenged the USA. The defeat of Hannibal at Zama correlates precisely with the defeat of Hitler. The evacuation of Cadiz by Carthage before Scipio’s advance was precisely one precessional cycle before the beginning of WW2. Allcroft and Mason call Cadiz (then Gades) the ancient Dunkirk.
The biggest destructive event during the Roman Republic may well have been the razing of Carthage and Corinth in 146 at the end of the Punic Wars. The modern correlate year, 2001, saw both the biggest destructive event inflicted on the modern analogous Republic, the 9/11 attack, (turning tables?) and over a longer period the Gulf Wars between the US Republic and a hegemonic challenger.
These deep harmonic causal patterns of the earth are not deterministic. Humans are free to choose and many historic events are accidents. However, this cosmic factor can be considered just as important a background cause for history as the physical economics of the earth. The precessional waves have the genetic advantage of having occurred for all terrestrial genes about two million times since the dawn of life with clockwork regularity. It is entirely possible that deeper causal patterns such as these exist.
Adding in the parallels between Pythagoras and Kepler, Plato and Kant, and Aristotle and Hegel is a bit of fun – Nietzsche might have called it the eternal return of the same.
Looking to the future, this model suggests internal conflict within the USA/west over the next 100 years, with imperial consolidation after 2117 and the birth of a second Christ around 2147.
I note that the 1/12 division of the 2147 age is 178.9 years, precisely the period of the solar system barycenter. Perhaps these are also linked?