Define this God's act of "drawing" - and I shall state my position on it.If you think that when the Holy Spirit and the Christ Himself draws all men onto Himself that at least some men will not have the will to choose Him, then you must not know just how wonderful that Gospel message is to a sinner with a conscience.
Is this "drawing" the act of God calling All people to repent and believe to receive salvation(the universal offer) - or is it the very act of regenerating people by the power of the Holy Spirit(conversion)?
If it's the former, I too do believe God makes the Gospel offer available to each and every single person, and in that we find no disagreement. But it's not some men but rather I believe no man in the flesh inherently has the will to choose to obey Him. Not even me - I've heard the Gospel far too many times not to have believed until that hour when I was shown to be the sinner I truly was by God's merciful regenerative work.
If it's the latter, quite obviously not all are drawn then.
It seems as if even if you were willing to concede that man has no natural ability to obey the Gospel, you would set up a pseudo step for God to enable man to obey and then wait for man's response to that, where he can reject or accept, following which he is either left to perish or get regenerated. If I've got that right, then I'd like to see either scriptural references for this pseudo step which apparently is not the same as regeneration - or concession that this is indeed the very regenerative step that converts man completely around.