"We are often told that we limit the atonement of Christ, because we say that Christ has not made satisfaction for all men, or all men would be saved. Now, our reply to this is, that, on the other hand, our opponents limit it: we do not. The Arminians say, Christ died for all men. Ask them what they mean by it. Did Christ die so as to secure the salvation of all men. They say, "No, certainly not." We ask them the next question--Did Christ die so as to secure the salvation of any man in particular? They answer, "No." They are obliged to admit this, if they are consistent. They say, "No, Christ has died that any man may be saved if..." --and then follow certain conditions of salvation. Now, who is it that limits the death of Christ? Why, you. You say that Christ did not die so as to secure the salvation of anybody. We beg your pardon, when you say that we limits Christ's death; we say, "no my dear sir, it is you that do it." We say Christ so died that he infallibly secured the salvation of a multitude that no man can number, who through Christ's death not only may be saved, but are saved, must be saved and cannot by any possibility run the hazard of being anything but saved. You are welcome to your atonement; you may keep it. We will never renounce ours for the sake of it."
Charles Spurgeon
Judging from the above statement, it seems there is confusion on both sides.
Jesus paid the penalty of "death for sin" for the sins of the whole world that the whole world
"MIGHT BE" saved,
Because God isn't willing for any to perish, but "ALL" would come to repentance.
No one can question/deny that the law has been fulfilled to the sins of the whole world.
Now that bring us to the question of "MIGHT BE".
What is the missing component that completes the plan of salvation and turns the might be into will be saved??
"FAITH/BELIEF" in Jesus is the missing component.
Many believe God must supply this Faith before it's possible for man to believe,
If that's true, why is it missing from the plan of salvation,
Why does God's will and Jesus's death only create a situation where men might be saved, rather than will be saved???
Man will be Judged according to his belief/unbelief, a choice given to each individual,
The Gospel, being preached to the whole world as a "Witness" is like the cops reading you your right,
"you have the right to believe in Jesus, and be saved,
You have the right not to believe" and be condemned".
And that witness will appear in court.
An Judge who issues verdicts according to his "predilection", rather than adhering to the law, violates the law.
Of course God is not going to violate his law.
God, in spite of his "predilection" none perish, will still condemn, because the law according to unbelief is issuing the verdict, not God's will.
The defendants have been "read their rights", (preached Gospel) knowing the law of death for sin, have chose to appear in court either innocent (belief) or guilty. (Unbelief)
The will of the court/Jesus is that all be saved, and the law was fulfilled that they "MIGHT BE",
But God's will doesn't over rule man's will or the law in court,
The Judge can not be bias/partial to any individual in his calling or Judgment at the expense of someone else, Jesus died that they all might be saved.
Most Calvinist I know believe Judgment day is a day when God's will of whom he will save is being Judged,
It's not, it's the "Will of man" to believe or not believe that is Judged,
The guilt or innocents of a person rest "Wholly" upon the choice of belief/unbelief of that person.
The will of God none perish is actually over ruled by the Law and man's will on the day of Judgment.
and there is a reason/purpose for it being this way.