Speaking, prophetically, of the one to be born to Zacharias, Gabriel, the angel, says :
For he shall be great in the sight of the Lord, and shall drink neither wine nor strong drink; and he shall be filled with the Holy Ghost, even from his mother's womb. And many of the children of Israel shall he turn to the Lord their God. And he shall go before him in the spirit and power of Elias ... [Luke 1:15-17a KJV]
Zacharias reiterates this in his own prophecy :
And thou, child, shalt be called the prophet of the Highest: for thou shalt go before the face of the Lord to prepare his ways; [Luke 1:76 KJV]
This is a striking text - the words in the mouth of the angel Gabriel - for he is stating, firstly, in saying that John will go before the Lord their God, that the one before whom John will go is both Lord and God.
And, secondly, Gabriel is stating that the one before whom John proceeds is the Lord who is the God of Israel.
Mark states quite clearly :
The beginning of the gospel of Jesus Christ, the Son of God; As it is written in the prophets, Behold, I send my messenger before thy face, which shall prepare thy way before thee. The voice of one crying in the wilderness, Prepare ye the way of the Lord, make his paths straight. [Mark 1:1-3 KJV]
And all four gospels narrate the precedence of John prior to the ministry of Jesus.
Do Gabriel's words convey that Jesus of Nazareth is the same person as He whom the 'children of Israel' followed prior to the coming of Christ into the world ?
ADDITIONAL EDIT IN RESPONSE TO ANSWERS
To make this more clear :
Thou shalt call his name John. 14And thou shalt have joy and gladness; and many shall rejoice at his birth. 15For he shall be great in the sight of the Lord, and shall drink neither wine nor strong drink; and he shall be filled with the Holy Ghost, even from his mother's womb. 16And many of the children of Israel shall he turn to the Lord their God.
17 And he shall go before him. . . . .
All of this relates to John.
And John shall go before him . . . . .
What does that mean ?
Who shall John go before ?
The antecedent is 'the Lord their God'.