[Errigal]

Two quick thoughts on the "Jesus was a Jew" argument:

1)
He and the Apostles were Hellenized Jews. "I am the Word" (or Logos/Reason) is key to His teachings.

2)
The Jews of 0-33 AD were likely quite different from the Jews of only a few centuries later, let alone the Jews of the modern era.
Like a military officer joked to me about his career: "the first ten years in the army are character forming and the next ten years are character deforming". The first 2,000 years of Jewish history appear to have been character forming and the last 2,000 years have been character deforming.