“So Jesus - the Savior - was not raised as a Jew?”
The Jews at that time were the church of God on Earth, and outside of them there was no salvation. Jesus Christ did not found a brand new church, but simply continued and expanded the old one, fulfilling the original covenant with Abraham which we today call Christianity, grafting the Gentiles into the vine. Consequently, those who do not believe in Christ are dead in their sins.
Just FYI.