Launching into emotional rants about God being 'unfair' or 'arbitrary' will not rescue your system from its internal contradictions. You are attempting to paint the non-elect as innocent victims who are being dragged into the lake of fire kicking and screaming while wanting to be saved. This completely ignores the biblical reality of human depravity and God's absolute justice.
Let's look at the strict legal facts of God's courtroom: God does not cast anyone into the lake of fire because they lacked election; He casts them into the lake of fire because they are guilty, lawless sinners who broke His holy law. If a judge sentences a guilty criminal to prison, that sentence is not 'arbitrary'—it is the execution of pure justice. Because the entire human race fell in Adam and is born dead in trespasses and sins (Ephesians 2:1), every single human being justly deserves eternal damnation. Salvation is completely unmerited mercy; hell is strict, earned justice. God owes salvation to absolutely no one. If God sent the entire human race to hell, He would be perfectly just. The wonder of the Gospel is not that God judges some, but that He sovereignly chooses to rescue any.
Furthermore, your claim that the lost 'have no say in the matter' is a total caricature of human nature. Sinners make choices every single day, and they have exactly what they want. John 3:19 tells us the exact ground of condemnation: 'light is come into the world, and men loved darkness rather than light, because their deeds were evil.' The unregenerate reject Christ gladly, voluntarily, and willingly because they love their sin and hate the holiness of God. No one will stand at the Great White Throne judgment as an innocent victim claiming they wanted to repent but were denied. They will stand condemned for their own active, unyielding hatred of the Savior.
Finally, your philosophical objection about fairness is the exact complaint Paul anticipated and crushed in Romans 9:19. When an opponent of sovereignty asks, 'Why doth he yet find fault? For who hath resisted his will?', Paul does not step back and try to defend human free will. He issues a devastating sovereign rebuke in verses 20–21: 'Nay but, O man, who art thou that repliest against God? Shall the thing formed say to him that formed it, Why hast thou made me thus? Hath not the potter power over the clay, of the same lump to make one vessel unto honour, and another unto dishonour?'
Your argument is a direct assault on the potter's right over the clay. God's purpose in election is not a loose, helpless wish waiting on the autonomous choices of dead men. He is the Sovereign Lord who has mercy on whom He will have mercy, and hardens whom He will. God's justice is magnified when He punishes the wicked for their voluntary rebellion, and His grace is glorified when He sovereignly quickens His elect out of the exact same lump of ruin.