What other Old Testament images did Jesus likely have in mind when He performed exorcisms?

ANSWER!

Jesus understood His ministry of exorcism as an expression of His authority to judge organized evil in the world and destroy its power.  A familiar biblical precedent of God's judgment on evil was the destruction of Sodom and Gomorrah, which was so wicked that it could not be saved.  The same was true of the destruction of the city of Jericho, which was considered an abomination to the Lord once the people entered into the Promised Land.  His words in the Gospel of John, "[N]ow has judgment come upon this world," are indicative of this attitude of righteous judgment upon unrepentant evil.

God's power over evil is manifest also in His purification of the promised land of the peoples who worshipped false gods. His action is described as a quasi-exorcism, a "driving out" of evil from their midst.  We must be careful, however, not to interpret such passages literally.  When the Old Testament speaks of "driving out" nations, it does so as a command to the Israelites to separate themselves from evil but is not to be interpreted in modern times as commanding anyone to do violence.  The Church applies exorcism and "driving out" only to demons, not humans.  The following passage describes Yahweh's actions as a type of exorcism:

  When you come into the land which the Lord your God is giving you, you shall not learn to imitate the abominations of the peoples there.  Let there not be found among you anyone who immolates his son or daughter in the fire, nor a fortune-teller, soothsayer, charmer, diviner, or caster of spells, not one who consults ghosts and spirits or seeks oracles from the dead.  Anyone who does such things is abomination to the Lord, and because of such abominations, the Lord, your God, is driving these nations out of your way.

By Rev. Thomas J. Euteneuer "Exorcism and The Church Militant" page 6.