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today Christian is a universal term to beilevers in Jesus.
I know a few orthodox Jews who see no disconnect between the way their people have lived for thousands of years and the Gospels. They do no accept the title of Christian nor do they hold to the writings of paul (some do some dont) Generally their canon would be this
Genesis- Malachi
the 4 gospels, and the writings of the 12 apostles that Jesus chose in Human form while on earth (those in the Gospels)
Rabbi Simcha Pearlmutter is one such Jew.
Eusibies also rails against "Nazarenes" who still have a copy of matthew in Hebrew.
surprisingly enough, I find Messianic Jews, much more easy to get along with in regards to covenant and generally reformed theology. They get the title "legalist" just as much as a puritan like me does
they affirm the Deity of Jesus, accept him as Lord, they do not use "trinity" because the term is not found in Scripture, but they beileve the same as "Trinitarians" End
all that to say, while it was at Antioch where they were called Christians, It doesnt mean they were called that in Jerusalem. So while history has run its course, i find no problem with folk who are
cautios of using "Christian"