Gosh, I think that is a terrible reading of the Gospel. Paul isn’t criticizing Jews for not being better Jews. He’s criticizing Jews for not believing in the only name that saves, Jesus Christ.
But Paul is distinguishing between fleshly Israel and the Israel of God like right here:
"28For he is not a Jew, which is one outwardly; neither is that circumcision, which is outward in the flesh: 29But he is a Jew, which is one inwardly; and circumcision is that of the heart, in the spirit, and not in the letter; whose praise is not of men, but of God." [Romans 2]