"Am lifted" is passive, but RnMomof7 bolded "will draw", so the natural assumption what that that was she intended to emphasize.
Tell me about grammatical objects in the passive.
I suspect I cannot tell anything that would be new to you. But the "I" following 'And' and before the comma is the one to focus upon. Being lifted up puts the "I" in a passive position under the verb form action; 'will draw' refers back to the initial "I" in the passive position. In English if we write 'And I will draw all men unto myself', the :I: is active, doing the drawing. In the Greek the clause separating 'And I' and 'will draw' indicates that in being acted upon the "I" has dragged 'all' into the verb position of initial passive action.
My Greek is not honed to perfection and I'm an old codger, so I hope that has some meaning for you.