I'm sure that this was not your intent but from what I am reading you are presenting a modalist understanding of the Trinity.
Sorry, but I can't see your point.
Exodus 4
1Then Moses said, “What if they will not believe me or listen to what I say? For they may say, ‘The LORD has not appeared to you.’”
2The LORD said to him, “What is that in your hand?” And he said, “A staff.”
3Then He said, “Throw it on the ground.” So he threw it on the ground, and it became a serpent; and Moses fled from it.
4But the LORD said to Moses, “Stretch out your hand and grasp
it by its tail”—so he stretched out his hand and caught it, and it became a staff in his hand—
5“that they may believe that the LORD, the God of their fathers, the God of Abraham, the God of Isaac, and the God of Jacob, has appeared to you.”
Did God devise a way to convince people that He was with the speaker, to confirm that the message to follow Him, abandon following the world, love God and others, abandon loving yourself only, was true? See above.
John 14
8Philip said, “Lord, show us the Father, and we will be content.”
9Jesus replied, “Have I been with you for so long, and you have not known me, Philip? The person who has seen me has seen the Father! How can you say, ‘Show us the Father’?
10Do you not believe that I am in the Father, and the Father is in me? The words that I say to you, I do not speak on my own initiative, but the Father residing in me performs his miraculous deeds.
Did Philip ask for the same proof that God gave Moses? See above.
Interestingly, the signs and wonders that Jesus provided was mostly Scriptural revelations, knowledge. He opened the minds of the disciples so that they could understand that whatever was written in Scripture pointed to Him.
How do you see modalism? First, I quoted Scripture. Second, I never made any statement teaching modalism.
Lucy: What do you see in those clouds, boys?
Charlie Brown: I see a ducky, a doggy, and maybe a birdy too.
Linus: on the left, I see the stoning of Stephen, on the right, ...
Charlie Brown: Eeep!