They're both YHWH but only YHWH is the Father? No. YHWH is the Father's personal name. Jesus is never called YHWH.
The Bible disagrees with you!
We have the Prophecy in Isaiah 40:3, of the First Coming of Jesus Christ:
"The voice of one who calls out, “Prepare the way of YHWH in the wilderness! Make a level highway in the desert for our God"
In Matthew 3:3, we read that this Prophecy is fulfilled when Jesus Christ Came into this world
"For this is he who was spoken of by the prophet Isaiah, saying: “The voice of one crying in the wilderness:
‘Prepare the way of the Lord (YHWH); Make His paths straight.’ ”
How can this passages from Isaiah, which Speaks of the Coming of YHWH, be fulfilled in the First Coming of Jesus Christ, if He is not YHWH?
In Numbers 21:6, we read;
"YHWH sent venomous snakes among the people, and they bit the people. Many people of Israel died"
In 1 Corinthians 10:9, Pauls says;
"nor let us tempt the Christ, as some of them also tempted, and were destroyed by serpents"
Again, the Actions of YHWH in the Old Testament, are directly said to be that of Jesus Christ. Paul could not have used this passage from Numbers, and apply it to Jesus Christ, if He is not Himself YHWH.
In Joel 2:32, we read;
"And it shall come to pass that everyone who calls on the name of YHWH shall be saved"
In Peter's sermon in Acts chapter 2, we read of the Prophecy in Joel from verse 14. In verse 21 Peter quotes;
"And it shall come to pass that everyone who calls upon the Name of the Lord (YHWH) shall be saved"
In Romans chapter 10, Paul is speaking of the Gospel of Jesus Christ, and salvation in Him. In verse 13 Paul says;
"For “everyone who calls on the Name of the Lord (YHWH) will be saved.”
It is impossible for both Peter and Paul to have quoted the passage from Joel, of YHWH, and apply it directly to Jesus Christ, if He is not YHWH
In Isaiah 45:21-23 we read;
"Tell and bring forth your case; Yes, let them take counsel together. Who has declared this from ancient time? Who has told it from that time? Have not I, YHWH? And there is no other God besides Me, A Just God and a Savior; There is none besides Me. "Look to Me, and be saved, All you ends of the earth! For I am God, and there is no other. I have sworn by Myself; The word has gone out of My mouth in righteousness, And shall not return, That to Me every knee shall bow, Every tongue shall take an oath"
In Philippians 2:9-11, Paul says;
"Therefore God has highly exalted him and bestowed on him the name that is above every name, so that at the Name of Jesus every knee should bow, in heaven and on earth and under the earth, and every tongue confess that Jesus Christ is Lord, to the glory of God the Father"
Clearly Paul is quoting the passage from Isaiah as fulfilled in Jesus Christ. All of what is spoken by Isaiah, is clear that Jesus Christ is YHWH, The Just God, and Savior. And it is to Jesus Christ that every knee will bow, which will be to the Glory of God the Father!
How are these passages, that speak of Jesus Christ as YHWH, be so, if He is not Himself YHWH, which makes Jesus Christ Almighty God, and 100% COEQUAL with God the Father.