God has said that vengeance should belong to Him alone, but why?
Romans 12:19 ESV Beloved, never avenge yourselves, but leave it to the wrath of God, for it is written, “Vengeance is mine, I will repay, says the Lord.”
Deuteronomy 32:35 ESV Vengeance is mine, and recompense, for the time when their foot shall slip; for the day of their calamity is at hand, and their doom comes swiftly.’
I take vengeance in this context to mean that God will intercede for a wronged person and give the other party their come-up-pance here on earth (distinct from His eternal judgement).
What is the biblical basis for God doing this?
I understand why we shouldn't take vengeance--because our judgement would almost certainly be faulty and out of an unloving intent. But it seems like God would be acting on the vengeance in our hearts if he were to do it himself.
I'm looking for scripture to support scripture and want a biblically cited reason in an answer.