Jeshua was Aramean from Galilee, born from parents of Nazarene descent. For the purpose of social profile, popular belief that he was de facto Jewish is about as precise as most Americans presuming Bono is British. Geographically or geopolitically, he was about as Jewish as Sean Connery is English and in terms of language and communication background, his assumed ethnic accent would be to Hebrew, what Fabio Capello does is to Queen's English.
He was killed by Jews.
Not that we actually have a proper proof for any of the above, beyond few stories by his mates.