The dynamics of "drawing" is completely different in the gospel accounts of Jesus Christ and his ministry, which is before his blood sacrifice of himself on the cross, than the "drawing" during the post resurrection of Jesus Christ from the dead. The difference is the non existence of any drawing after the resurrection. What does this tell us. It tells us the drawing of God to Christ his son is in a Jewish and a "physical" context.
This nation was an expectant nation because of their Bible, that contained the promises that God made just to them first, and by extension to the world. The promises required a physical deliverer, a man, someone they could see and he must be recognizable through their prophets. This would be the drawing power for these people to whom the promises are made. The prophets said he would be born of a virgin, he would be born in Bethlehem, he would do miracles and those who believed and were anticipating his coming would be drawn to him because of these things.
Jn 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.
45 It is written in the prophets, And they shall be all taught of God. Every man therefore that hath heard, and hath learned of the Father, cometh unto me.
46 Not that any man hath seen the Father, save he which is of God, he hath seen the Father.
But they have seen the son and Jesus would later say that he that hath seen the son hath seen the Father.
The requirement during the gospels for them to be drawn to him is to see him. This thing is strictly physical.
John 6:40
And this is the will of him that sent me, that every one which
seeth the Son, and believeth on him, may have everlasting life: and I will raise him up at the last day
No lost men saw Jesus after his resurrection. Therefore no one was drawn to him physically and the word is not in the epistles with this connotation. The word itself does not appear in the 13 letters Paul wrote explaining how to be saved. Does anyone think that strange if what they teach is true?
Following is as close as it gets and one can see that a man initiates the drawing.
James 4:8 Draw nigh to God, and he will draw nigh to you. Cleanse your hands, ye sinners; and purify your hearts, ye double minded. We need to rightly divide the scriptures and honor context and history. Eternal souls will be affected by what we teach. We must teach the truth.