"His people" were the Jews in this scripture; and yes, He does save people who are not the Jews.
Obviously, He is not willing that any should perish but that all should come to repentance, and the ones in John 6:39 are people whom He does not wish to perish. However,
Jhn 6:39, And this is the Father's will which hath sent me, that of all which he hath given me I should lose nothing, but should raise it up again at the last day.
These are people who heeded the call to receive Christ; and not everyone whom God is not willing to perish are these. For there are some whom God is not willing to perish who do not receive Him and therefore they are not the same people who are spoken of in John 6:39 (above).
I have looked at this concept extensively.
It is obvious that the Lord wills all men to be saved and to come to the knowledge of the truth (1 Timothy 2:4), is not willing that any should perish but that all should come to repentance (2 Peter 3:9), died as a ransom for all (1 Timothy 2:6) and for the sins of the whole world (1 John 2:2).
So, Limited Atonement is not the reality.
Universalism is not the reality because there is a real hell that people go to (Matthew 13:41-42, Matthew 13:49-50, Matthew 25:46).
Therefore, Irresistible Grace is not the reality (not to mention, Acts of the Apostles 7:52 denies Irresistible Grace).
So, what does God's love never fail to do in all of God's Omnipotence (1 Corinthians 13:8-a, Revelation 19:6)?
It never fails to give man a perfect choice as to whether he will receive or reject Jesus Christ as his Lord and Saviour.
It does not fail to give man a degree of his own sovereignty so that he can choose to obey or disobey the Lord; and so that, having disobeyed the Lord, can choose whether or not to receive His forgiveness, turning away from his sins.
Jesus offers salvation to all and died so that all might be able to receive His salvation.
He does not close the door on those whom He deems to be the "non-elect", saying that He didn't die for them and therefore, even if they want to come to Christ and be saved, they cannot do so.
The fact that He died specifically for His sheep is speaking of the fact that His sacrifice does not avail for those who will never believe in Him.
It is not saying that He didn't die for everyone's sins (1 John 2:2, 1 Timothy 2:6).
You obviously do not watch a faithful news source. He actually did offer the national guard to the Police at the capital, but they refused the help because they thought they could handle it.
That was no lie. There was definitely fraud this last election. Biden even boasted how they had "such an integrated network for election fraud" on national television.