The elect, are they Jews?

The elect are those who are saved, some are Jews by believing in Jesus.  

Rom 9:22  What if God, willing to show his wrath, and to make his power known, endured with much longsuffering the vessels of wrath fitted to destruction:
Rom 9:23  And that he might make known the riches of his glory on the vessels of mercy, which he had afore prepared unto glory,
Rom 9:24  Even us, whom he hath called, not of the Jews only, but also of the Gentiles?
Rom 9:25  As he saith also in Osee, (Hosea) I will call them my people, which were not my people; and her beloved, which was not beloved.
Rom 9:26  And it shall come to pass, that in the place where it was said unto them, Ye are not my people; there shall they be called the children of the living God.
Rom 9:27  Esaias (Isaiah) also crieth concerning Israel, Though the number of the children of Israel be as the sand of the sea, a remnant shall be saved:
Rom 9:28  For he will finish the work, and cut it short in righteousness: because a short work will the Lord make upon the earth.
Rom 9:29  And as Esaias said before, Except the Lord of Sabaoth had left us a seed, we had been as Sodoma, and been made like unto Gomorrha.
Rom 9:30  What shall we say then? That the Gentiles, (Non Jews) which followed not after righteousness, have attained to righteousness, even the righteousness which is of faith.
Rom 9:31  But Israel, which followed after the law of righteousness, hath not attained to the law of righteousness.
Rom 9:32  Wherefore? Because they sought it not by faith, but as it were by the works of the law. For they stumbled at that stumblingstone;
Rom 9:33  As it is written, Behold, I lay in Sion a stumblingstone (Jesus) and rock of offence: and whosoever believeth on him shall not be ashamed.