In your view, I am assuming you would say that God foresaw who would be saved and wouldn't as most teach in churches in non-reformed circles? In this view there is a slight problem as you cannot consistently say that God foreknew who would be saved (by foreseen faith) and then preach that God the Holy Spirit does all He can do to save every man in the world. The Holy Spirit would be wasting time and effort to endeavor to convert a man who He knew from the beginning would go to Hell. If God already knows the outcome of every man before he created the world then the result cannot be otherwise. In other words, even you cannot escape the fact that man has no free will, but in this case it is not man or God choosing but some kind of fate since the future cannot be otherwise. This is why many Arminians have jumped ship and become Open Theists because the position is untenable. If God foreknows all things then it is, in a very real sense, his will that they take place. The Arminian view does not escape this very same dilemma, it only hides or crouches it behind an elaborate man-made system made to look (from the outside) as if it were protecting God. I like the parable, but let us look at another one:
Consider if I were to borrow $200 million from a bank as venture capital to fund a new company but then squander it in a couple of weeks of wild living. Does my inability to ever repay the bank alleviate me of the responsibility to do so? Of course not. In the world of finance and law inability is not an excuse for not carrying out the duty to repay. How much more with God. Your idea wrongly presumes that inability alleviates us from our responsibility, but just like the man who is unable to repay his $200 million debt squandered in wild living still has a responsibility, so likewise we are responsible to obey God and believe the gospel, even though (because we fell in Adam) we are morally unable to do so. It is perfectly just of God to let us pay our own debt when we so steadfastly refuse Him. Sin cannot be paid for twice, it was either paid in full by Christ or will be paid for in full by the sinner. Numbers 21 gives a great OT foretelling of salvation. Many were bitten by serpents and died. God told Moses to lift up a bronze serpent and all who looked upon the serpent would not die. Keep in mind that many had already perished, in their sins. How then if salvation through Christ is for all who ever lived, yet we die in our sins we go to hell, is sin paid for for everyone? It's because Christ death was particular and not potential. To say that Christ paid for the sins of everyone who has ever lived is to say that those in hell before His coming would get a second chance at salvation. Nowhere is that taught in scripture, nowhere! Again, that says that Christ death is particular and not potential. As Jonathan Edwards once said, "If damnation be justice, then mercy may choose its own object." The greatest curse God can give us in this world is to leave us in the hands of our own boasted free will. So it should forever awe us that he has had mercy on us, disarmed our rebellion, and saved us, in spite of ourselves