This entire argument is just fine, for an examination of government systems to adjudicate compliance with civil and criminal statutes. Human justice.
It’s still wrong, mind you, but it is a fine argument.
If justice fundamentally excludes mercy, then I will choose mercy, and forgo justice. It doesn’t, of course. You seem to equate perfection and precision when you discuss what perfect justice might be. Precise and invariable conformation to the law is not necessarily desirable, even in the imperfect situation that arises in human justice systems. So, we try to put people in charge of the system, whom we call judges, and whom we rely upon to administer justice in accordance with both the letter and spirit of the law. Justice with mercy.
Mercy is not just failing to execute just punishment. Mercy is the extending of kindness, and compassion to those who need it. Waving dictionaries around at people is unrelated to justice or mercy. Or good philosophy.
Now, on the only slightly related subject of the possibility that God might be able to be both just, and merciful, it seems that the argument you propose includes the same failing. You want God’s justice to conform to your perception of precision being perfection, and punishment being required for justice. These criteria are entirely personal on your part. A lot of people see the possibility of just and lawful mercy to those who were in violation of the law. And for those who insist in payment for the sins of man, the legalistic doctrine of Christianity maintains that all such debts are paid, by the Lord Himself, on behalf of those for whom he is the Savior.
See, God knew folks like you would be nit picking about legalism. So, He came up with a solution for you too.
However I feel constrained to point out that this, and all other arguments about who gets sent to Hell are just more cases of missing the entire point. Sin and punishment are not the point. Love is the point. Mercy is just one expression of love.
“Faith, hope and love, abide now these three. And the greatest of these is Love.”
Justice doesn’t even make the top three.
Feel free to continue the ontological examination of the fundamental incompatibility of Love and Law.
Tris