More points added since your post. Another important bit which reverberates with your analysis of history from the book of Nehemiah and which further underscores important distinctions from the survey drawn in time:
Here is a timeline pertaining to Joseph Hyrcanus and Herod Archelaus:"The return from Babylon and the introduction of the Babylonian Talmud mark the end of Hebrewism and the beginning of Judaism." --Rabbi Stephen F. Wise, (1874-1949)
There were many named "Y'shua" or "Joshua" at the time. So it would have been easy to pick out any prominent-born "Jesus" and try to mingle his background with Y'shua the Anointed's to make confusion or to defame or to obfuscate.142 BC - Exiles of Judah won independence under Maccabean kings
125 BC John Hyrcanus conquers Edomites incorporating them into his kingdom if they adopted Judaism
69 BC Antipater, Edomite chieftan and founder of the house of Herod rises to power, gains favor of Rome, made Procurator of Judea
37 BC Herod I gains almost complete control of Judea
4BC-6AD Herod Archelaus holds governorship over Judea; Scepter departs from the house of Judah; Y'shua born
The sceptre shall not depart from Judah, nor a lawgiver from between his feet, until Shiloh come; and unto him shall the gathering of the people be. Genesis 49:10
Related:
When the Scepter Departed from Judah (Genesis Messianic Prophecy Fulfilled)