From the muslim POV;
Many Muslims believe this. I find this very unfortunate because Qur'An does not mention such a thing. Qur'An simply says that "It made to be seen like that." Meniang they thought they crucified jesus on the cross.
The logical explanation is rather different according to me.
First of all we learn from the Qur'An that jesus was raised to Allah before he was crucifed. This ascention is dene after Allah tells Jesus that He was going to take his soul. So we deduce that Jesus ascended to higher realms spiritually not physically.
What happened to the body of jesus afetr that?
Now read this part carefully, how things can be made up so easily...
It seems that the body of Jesus Christ was left to those who wanted to kill him. If we make an analagy human body without the spirit is similar to a robot. It is logical to think that a physical body would learn many things during 33 years. It might stand, it might walk when pushed and most likely it might talk. Even in your book it is said that Jesus prior to crucifiction was quite irresponsive. So the foregone conclusion is that they, those who wanted to kill Jesus, stopped a bilogical machine without the soul yet they did not kill Jesus since that body they destroyed had no spirit.
That is why it looked to them as if they killed Jesus yet they did not. And if what I say is correct then it was not judas who was crucified either.