Sounds good, but there would not be the two terms pointed to specifically one to Jews and one to Gentiles. There was a difference.
The difference was that Peter was to give the Gospel mainly to the Jews and Paul was mainly to the Gentiles, otherwise...
Romans 3:9 (KJV) What then? are we better
than they? No, in no wise: for we have before proved
both Jews and Gentiles, that they are all under sin;
Romans 3:20-25 (KJV) Therefore by the deeds of the law there shall no flesh be justified in his sight: for by the law
is the knowledge of sin. But now the righteousness of God without the law is manifested, being witnessed by the law and the prophets; Even the righteousness of God
which is by faith of Jesus Christ unto all and upon all them that believe: for there is no difference: For all have sinned, and come short of the glory of God; Being justified freely by his grace through the redemption that is in Christ Jesus: Whom God hath set forth
to be a propitiation through faith in his blood, to declare his righteousness for the remission of sins that are past, through the forbearance of God;
and especially...
Galatians 1:8-9 (KJV) But though we, or an angel from heaven, preach any other gospel unto you than that which we have preached unto you, let him be accursed. As we said before, so say I now again, If any
man preach any other gospel unto you than that ye have received, let him be accursed.