Isaiah 53 does exactly that distinction for us.
The chapter first records the mistaken conclusion of the observers and then explains God's actual purpose.
Isaiah 53:4 says: "We esteemed him stricken, smitten of God, and afflicted."
They mistook the conclusion of their own purposes to accuse, condemn, and crucify Him.
They wrongly imputed it to God's will, as if by the law of blasphemy.
God's purpose was to submit into their hands, to do with Him what they would.
What they purposed for evil, God made for good by resurrection from the dead, and having mercy on any of His enemies at the cross, who repent of sinning against Him.
The verb is ḥāshab (חשב), "to reckon, regard, account, esteem."
The statement is explicitly about what we thought.
The error was in our estimation.
That's the whole simple point. Thank you.
The argument is only against the lie of God imputing His Son with sin, and esteeming Him guilty of death as by law. There is no argument against God the Father and Son having any part in their evil treatment of Him.
The greater lie, is that anyone is justified by unlawfully killing the Son of God, as if He was imputed with our sins, and we are imputed with His righteousness at the cross.
Psa 94:21
They gather themselves together against the soul of the righteous, and condemn the innocent blood. But the LORD is my defence; and my God is the rock of my refuge.
This prophecy is fulfilled by all sinners against Jesus the righteous at the cross. All that ever sinned against Him, were imputed with guilt of His unjust death, and shedding His innocent blood:
Deu 19:9
If thou shalt keep all these commandments to do them, which I command thee this day, to love the LORD thy God, and to walk ever in his ways;…That innocent blood be not shed in thy land, which the LORD thy God giveth thee for an inheritance, and so blood be upon thee.
By law of God, everyone on earth that sins against the Son of man, is guilty of innocent blood and worthy of death by crucifixion ourselves;
Deu 21:22
And if a man have committed a sin worthy of death, and he be to be put to death, and thou hang him on a tree: His body shall not remain all night upon the tree, but thou shalt in any wise bury him that day; (for he that is hanged is accursed of God) that thy land be not defiled, which the LORD thy God giveth thee for an inheritance.
But in rising from the dead, The Son is able to have mercy and forgive and recieve any of His enemies, that repent of sinning against Him.
But Isaiah does not stop there.
He certainly does with anyone imputing Jesus with sin, and esteeming Him guilty and smitten of God.
It's at the cross, where that prophecy is fulfilled by sinners not believing Jesus was the Son of God.
He immediately corrects that estimation: "But he was wounded for our transgressions, he was bruised for our iniquities" (v. 5).
Correct. He was not imputed with any sin and esteemed smitten of God, but only by sinful transgressors against the law of God.
The Hebrew begins with wəhuʾ ("but he"), creating a contrast.
Isaiah is moving from human perception to divine explanation.
Correct. From sinner's wicked belief, to God's correction.
Which was fulfilled with Jesus rising from the dead:
Romans{1:3}
Concerning his Son Jesus Christ our Lord, which was made of the seed of David according to the flesh; And declared to be the Son of God with power, according to the spirit of holiness, by the resurrection from the dead:
Any person that still believes after Jesus' resurrection, that He was imputed with sin and smitten of God by law, is an unbeliever in Jesus the Son of God in the flesh, nor risen from the dead.
And any person believing they themselves are imputed with righteousness by His unlawful death on the cross, remain fellow accusers, smiters, and crucifiers with the wicked that did it to Him:
1Co 12:3
Wherefore I give you to understand, that no man speaking by the Spirit of God calleth Jesus accursed:
The truth that God the Son submitted into their hands, does not take away nor nullify the fact, that their wicked hands beat, smote, and nailed Him to a cross.
The bigger problem for your argument is that Isaiah then uses entirely different verbs:
"The LORD hath laid on him the iniquity of us all" (v. 6).
No, it confirrms the argument, that imputing and laying on, are not at all the same thing.
Men can lay hands on a person, but only God can impute the soul with sin.
Men can also wrongly impute a person with sin, but the soul is not touched by the wicked hands upon their body.
Only sinful men falsely imputed Jesus with sin and laid wicked hands on His body. God only commanded Him to submit and endure their unlawful abuse without defence nor protest, and if necessary even unto death hanging on a tree.
Isa 53:7
He was oppressed, and he was afflicted, yet he opened not his mouth: he is brought as a lamb to the slaughter, and as a sheep before her shearers is dumb, so he openeth not his mouth.
1 Pe 2:22
Who did no sin, neither was guile found in his mouth. Who, when he was reviled, reviled not again; when he suffered, he threatened not; but committed himself to him that judgeth righteously:
No man imputed with sin by God, can commit himself to the righteous judgment of God without guilt. The soul God imputes with sin, is gullty of death.
The verb is pāgaʿ (פגע).
It means to cause something to meet, encounter, or fall upon someone.
Isaiah is not describing what men imagined.
He is describing what YHWH did.
False. You are doing ok, until you try to nullify what sinful men did to Jesus, and lay that charge to God Himself.
All God the Father and Son did was command and obediently submit into their hands.
Goin gback to the original challenge: Who imputed Jesus with sin and esteemed Him smitten of God? Men, not God. Who accused, beat, and hung Jesus on a tree? Man, not God.
God did not impute Jesus with any sin, nor esteem Him guilty of death, nor touch His body nor soul with iniquity.
That is the greatest lie and false accusation of the devil, since he accused the Lord of envying Adam and Eve in the garden, and forbidding them His own eternal life.
Only men took an active part in Jesus' sufferings and death. The Father and Son's part was only passive. The Father did not
do anything to His Son, except command, and the Son did not
do anything to Himself, except obey Him.
Sinful men
did everything to Jesus to make Him to suffer unto death.