Did Jesus "Draw All Men"?

John 12:32 And I, if I be lifted up from the earth, will draw all men unto me.

Skeptics deem this statement in error, saying that not everyone has or will believe in Jesus, so obviously he has not "drawn all men" to him. But to "draw" someone is hardly the same as to convert them. Note how the word is used elsewhere, which establishes the context of the meaning:

6:44 No man can come to me, except the Father which hath sent me draw him: and I will raise him up at the last day.
18:10 Then Simon Peter having a sword drew it, and smote the high priest's servant, and cut off his right ear. The servant's name was Malchus.
21:6 And he said unto them, Cast the net on the right side of the ship, and ye shall find. They cast therefore, and now they were not able to draw it for the multitude of fishes.
Acts 16:19 And when her masters saw that the hope of their gains was gone, they caught Paul and Silas, and drew them into the marketplace unto the rulers,

The word does not intimate conversion, but a physical pulling in -- with no implications in terms of what the reaction of the "drawee" is. So has Jesus "drawn" all men to him? He certainly will -- on the day of judgment, which is inescapable (cf. v. 31). Being "lifted" up from the earth (the word carries the connotation of exaltation, not merely physical lifting; cf. Matt. 11:23, "And thou, Capernaum, which art exalted unto heaven...") is Jesus' allusion to his role as judge. John 12:32 alludes to the resurrection of the just and the unjust and judgment before the exalted Son of Man.