How can Muslims be non-radical?

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Nowhere does the OT state that the punishments are supposed to be carried out at the whim of man. Punishment of death is only to be exercised by direct edict of God: We are not to carry out ANY punishment on others unless explicitly directed to do so by God, for it is his righteousness that hates sin, not ours. In our hearts we love sin and fear righteousness, and have not the merit nor righteousness to carry out the judgment nor execution of Wrath.

Upon the life of Christ, through his crucifixion and sacrifice, taking the entirety of God's wrath against sin upon himself, we are not to judge nor execute punishment anymore whatsoever. We are still to rebuke folly and direct our brothers and sisters in the Lord, but never are we, as sinners ourselves, to exercise a vengeful spirit against other sinners.