The Calvinist does not deny Free Will.
We deny that that Free Will does us any good.
When you are faced with a choice, how do you choose? Naturally, you choose that which is your greatest desire. Your choice will always be based on your greatest desire, and no choice you make will be based on anything apart from this.
Romans 3 :9 What then? Are we Jews  any better off?  No, not at all. For we have already charged that all, both Jews and Greeks, are under sin, 10 as it is written:
“None is righteous, no, not one;
11 no one understands;
no one seeks for God.
12 All have turned aside; together they have become worthless;
no one does good,
not even one.”
13 “Their throat is an open grave;
they use their tongues to deceive.”
“The venom of asps is under their lips.”
14 “Their mouth is full of curses and bitterness.”
15 “Their feet are swift to shed blood;
16 in their paths are ruin and misery,
17 and the way of peace they have not known.”
18 “There is no fear of God before their eyes.”
There is nothing in our natural parts that desires, or seeks God. We have all turned aside and we all seek our own way.
I say again, on our own, we are INCAPABLE of desiring God. That is our Natural, Sinful State.Paul has even more than that to say about the human state.
Eph 2 : 2:1 And you were dead in the trespasses and sins 2 in which you once walked, following the course of this world, following the prince of the power of the air, the spirit that is now at work in the sons of disobedience— 3 among whom we all once lived in the passions of our flesh, carrying out the desires of the body  and the mind, and were by nature children of wrath, like the rest of mankind. 4 But  God, being rich in mercy, because of the great love with which he loved us, 5 even when we were dead in our trespasses, made us alive together with Christ—by grace you have been saved— 6 and raised us up with him and seated us with him in the heavenly places in Christ Jesus, 7 so that in the coming ages he might show the immeasurable riches of his grace in kindness toward us in Christ Jesus. 8 For by grace you have been saved through faith. And this is not your own doing; it is the gift of God, 9 not a result of works, so that no one may boast. 10 For we are his workmanship, created in Christ Jesus for good works, which God prepared beforehand, that we should walk in them.
Not only does Paul again speak of us living in our passions, carrying out the ‘desires of the body’, he also says we were DEAD in SIN. Not comatose, not sick, or ill. Dead.A dead man cannot do anything unless he has first been brought to life (regenerated) by God. (verse 4), it is at this point that we are then capable of making decisions based on a desire that was not previously ours, it is then that we have a heart of flesh, and are able to be repentant, remorseful for our sins.
Ezek 36:22 “Therefore say to the house of Israel, Thus says the Lord God: It is not for your sake, O house of Israel, that I am about to act, but for the sake of my holy name, which you have profaned among the nations to which you came. 23 And I will vindicate the holiness of my great name, which has been profaned among the nations, and which you have profaned among them. And the nations will know that I am the Lord, declares the Lord God, when through you I vindicate my holiness before their eyes. 24 I will take you from the nations and gather you from all the countries and bring you into your own land. 25 I will sprinkle clean water on you, and you shall be clean from all your uncleannesses, and from all your idols I will cleanse you. 26 And I will give you a new heart, and a new spirit I will put within you. And I will remove the heart of stone from your flesh and give you a heart of flesh. 27 And I will put my Spirit within you, and cause you to walk in my statutes and be careful to obey my rules.  28 You shall dwell in the land that I gave to your fathers, and you shall be my people, and I will be your God. 29 And I will deliver you from all your uncleannesses.
God makes it very clear that every act of righteousness was propagated by Him. He vindicates, He sprinkles the clean water, He cleanses from the idols and unrighteousness, He takes the dead, stone heart and replaces it with a living, heart of flesh, He puts HIS Spirit in us and causes us to walk in HIS statutes and to obey HIS laws. Long story short is verse 29, He delivers us from uncleannesses.
As Paul says, Romans 9 16 So then it depends not on human will or exertion,  but on God, who has mercy.When mankind comes before God, begging forgiveness, and asking for Grace, he does because the Lord commanded His steps that way, he does so because the Lord took his stone heart from him and gave him a new heart and a new Spirit, he does so because God drastically changed the will of that individual to turn from his own fleshly, sinful, evil desires, and quickened him in the righteousness that Jesus brings to all who call upon Him.Is this unfair?We all deserve Hell. We are all under sin and not a single one of deserves salvation. God saves the elect ” in accordance with his pleasure and will” (EPH 1:5), and allows the rest to go their NATURAL way, after their own sinful desires ” to make known the riches of his glory” to those of us he graciously saved.
Paul would sum this up with:Romans 9 : 14 What shall we say then?(W) Is there injustice on God’s part? By no means! 15For he says to Moses,(X) “I will have mercy on whom I have mercy, and I will have compassion on whom I have compassion.” 16So then it depends not on human will or exertion,[b] but on God, who has mercy. 17For the Scripture says to Pharaoh,(Y) “For this very purpose I have raised you up, that I might show my power in you, and that my name might be proclaimed in all the earth.” 18So then he has mercy on whomever he wills, and he hardens whomever he wills. 19You will say to me then, “Why does he still find fault? For(Z) who can resist his will?” 20But who are you, O man,(AA) to answer back to God?(AB) Will what is molded say to its molder, “Why have you made me like this?” 21(AC) Has the potter no right over the clay, to make out of the same lump(AD) one vessel for honorable use and another for dishonorable use? 22What if God, desiring to show his wrath and to make known his power, has endured with much patience(AE) vessels of wrath(AF) prepared for destruction, 23in order to make known(AG) the riches of his glory for vessels of mercy, which he(AH) has prepared beforehand for glory— ,
God, as Creator of the World, has EVERY RIGHT to do with us as He pleases! He is GOD! Just because you struggle to understand, or because you think it’s ‘unfair’, doesn’t change one very big thing: You are a lump of dirt that God created for His own pleasure, and He will do with you whatever pleases Him.You are, from the moment you are conceive, a sinful creature on your way to Hell and that is your natural, well-deserved fate. God, in an act of Mercy, graciously takes the heart of some and replaces them with hearts of flesh and puts a new will, and a new desire in him.
We are only able to come to Him once He has drawn us.
We wouldn’t want to come to Him apart from that. We are too busy chasing our own evil passions, satisfying our lusts, and following the desires of our bodies.
I think God for the grace He extended me, through no merit of my own, but because it brought Him pleasure, and I am able to more fully understand His Grace and Mercy simply because He did NOT ordain us all to salvation.