Does John 12:32 Prove Universalism?

Does John 12:32 Prove Universalism?

In the Gospel of John, it is written: "And I, if I am lifted up from the earth, will draw all men to Myself," (John 12:32 NASB1995). Some use this passage to argue for Universalism as it states that all men will be drawn to Christ; however, this misunderstands the statement of Christ. 

As Ellicott writes: "The words “all men” are not to be limited by interpretations which refer them to nations, or to elect persons within nations; but are to be taken in all the fulness of their width as meaning simply what they say—“all.” The drawing unto Himself is the assertion of His reign over the world, from which the prince of evil shall be cast out. He will Himself be the centre (or center) of the new kingdom, from which none shall be shut out. These Greeks who are drawn to Him now are the first-fruits of the harvest of which the whole world is the field, and of which the last day is to be the great ingathering ... They are drawn by the moral power of the life and death and resurrection of Christ brought home to them by the Holy Ghost; but no moral power can compel a will which is free. (Comp. Note on John 6:37.) The whole mission-work of the Church and every effort which Christianity brings to bear upon the evil of the world implies this moral drawing; and implies, too, the power of man to reject it".

References:

Barnes' Notes on the New Testament. United Kingdom, Kregel Publications, 1962.

Ellicott's Bible Commentary, Volume 1. N.p., Delmarva Publications, Inc., 2015.

New American Standard Bible®, Copyright © 1960, 1971, 1977, 1995 by The Lockman Foundation. 

The Expositor's Greek Testament. United States, Dodd, Mead, 1900.