Foregiveness and redemption are not the same. Redemption means we are healed, made new. Carson is nothing if not an illustration of the principle...and Carson was a child. Is that less likely than the example of Chuck Colson?
You are redeemed in God’s eyes by salvation. Dorsnt mean you will no longer sin or have the same weaknesses. If Carson had actually been successful in one of attempted murders, he would not be running for president - redemption or not.