Except that the sinner is dead in his sin and not asleep in his sin.
Calvin's answer would be that God has once for all determined both whom he would admit to salvation and whom he would condemn to destruction.
Rephrase:
God has once for all determined whom he would grace with salvation out of the mass of those condemned to destruction.Notice the verb tense. We have already been condemned to destruction. Some us will be under shed grace and the Lion will pass over us.
That's where hyper-Calvinists get their belief that regeneration precedes belief in Christ. That determinism working with total inability.
Hmmm!, actually, you have really not explained how somebody believes in a saving kind of way at all. If God wakes up the slumbering sinner (Perhaps with a call like: "Go to the ant Cross you sluggard") then it is still entirely the sinner who creates the saving belief. How is this done?
You wrote - Rephrase:
God has once for all determined whom he would grace with salvation out of the mass of those condemned to destruction. Notice the verb tense. We have already been condemned to destruction. Some us will be under shed grace and the Lion will pass over us.
Calvin has always been quoted as damning some to hell. I think he'd say it my way instead of yours.