The facts presented in John 11 do not support your contention that Jesus acted because Mary and Martha asked Him to. Lazarus was Jesus' friend. One way or another, He would go to him.
The point of the event was how and why Jesus went to him. Jesus waited purposely until Lazarus was dead. If Jesus wanted to simply acquiesce to the requests of Martha and Mary, He would have left right away and not tarried so long that Lazarus died. The verse you quickly glossed over tells us why...
"And I am glad for your sakes that I was not there, to the intent ye may believe; nevertheless let us go unto him." -- John 11:15
Jesus had healed the sick and fed the multitude. He now would raise a dead man back to life in order that His friends would believe He was God. You miss the heart of the Gospel if you think this episode occurred in order to show us the result of "a physical effort of the part of someone pleading to Jesus."
Lazarus is raised from the dead not because of an "expression of faith" by any believer, but because a man's rebirth is the predetermined intent and purpose of God alone who breathes life into dead and fallen sinners.
You argue against points I did not make.