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:
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.
Related:
When the Scepter Departed from Judah (Genesis Messianic Prophecy Fulfilled)