Well, I think the evidens you have for that is quite poor.
Who are "His people" refered to in Luke 1?
And his father Zacharias was filled with the Holy Spirit, and prophesied, saying:
“Blessed be the Lord God of Israel,
For He has visited us and accomplished redemption for His people,
And has raised up a horn of salvation for us
In the house of David His servant—
As He spoke by the mouth of His holy prophets from of old—
Salvation from our enemies,
And from the hand of all who hate us;
To show mercy toward our fathers,
And to remember His holy covenant,
The oath which He swore to Abraham our father,
To grant us that we, being rescued from the hand of our enemies,
Might serve Him without fear,
In holiness and righteousness before Him all our days.
“And you, child, will be called the prophet of the Most High;
For you will go on before the Lord to prepare His ways;
To give to His people the knowledge of salvation
By the forgiveness of their sins,
Because of the tender mercy of our God,
With which the Sunrise from on high will visit us,
To shine upon those who sit in darkness and the shadow of death,
To guide our feet into the way of peace.”
— Luke 1:67-79
And there was a prophetess, Anna the daughter of Phanuel, of the tribe of Asher. She was advanced in years and had lived with her husband seven years after her marriage, and then as a widow to the age of eighty-four. She never left the temple, serving night and day with fastings and prayers. At that very moment she came up and began giving thanks to God, and continued to speak of Him to all those who were looking for the redemption of Jerusalem.
— Luke 2:36-38
after John had proclaimed before His coming a baptism of repentance to all the people of Israel.
— Acts 13:24
John the Baptist appeared in the wilderness preaching a baptism of repentance for the forgiveness of sins.
— Mark 1:4
All the focus in the beginning of the Gospels is around the people of Israel. There is not much (if anything?) of "Gentile and Jewish" believers at all.