I missed this post earlier. I love it
Paul was Jewish as Jew can be. He was a high ranking Pharisee, a scholar, a torah observant expert who often taught and quoted from the torah. He always preached to Jews first and his churches were mixtures of Gentiles and Jews with a very Jewish church culture. This is what he said about himself.
4 Though I might also have confidence in the flesh. If any other man thinketh that he hath whereof he might trust in the flesh, I more:
5 Circumcised the eighth day, of the stock of Israel, of the tribe of Benjamin, an Hebrew of the Hebrews; as touching the law, a Pharisee;
6 Concerning zeal, persecuting the church; touching the righteousness which is in the law, blameless.
That is Paul`s own summation of himself.