Calvinists see free will as well. The issue is what does "free will" mean?
Scripture teaches us that the lost cannot understand spiritual things (1 Cor. 2:14), is unrighteous, does not understand, does not seek for God (Rom. 3:10-12) and is a slave of sin (Rom. 6:16-20). Given this dire condition of the lost, how do you describe the limits of their free will? Can these persons choose to seek God? Can these persons understand rightly? If you answer in the affirmative, then what of the clear teachings of Scripture to the contrary? If you deny that these persons can seek God or understand rightly, as Scripture clearly teaches, then "free will" means something less than what you claim and you are now in agreement with the Calvinist and the Bible.
Until you can articulate what you mean by "free will" there will always be a disconnect in discussions. Calvinists do not deny man is free to choose. We just affirm that this freedom to choose is not something that is uncaused. Given that Scripture teaches that the lost are slaves of the devil, we affirm that their choices are quite free to choose according to devilish motives. We deny the lost are able to choose according to Godly motives, else they would not be slaves at all and Scripture is not truthful in its teachings.
AMR