The example of the saints is extremely clear. We forgive. If God still holds them to account that is between the soul and God. We are not worthy judges.
It IS:
Forgive us our trespasses as we forgive those who trespass against us.
NOT
Forgive us our trespasses as we forgive those who trespass against us if and only if they repent.
We don’t know if a person has truly repented, ever. If they say it, they might not mean. If they don’t say it, they may still repent in their heart. We cannot judge repentance, and yet we are called to forgive them.
We judge in this world for practical reasons, only God judges for authentic justice. Jesus gave us a clear commandment which He modeled Himself:
“Love your enemies and pray for those who persecute you.”
An insistence on retribution is clearly incompatible with this commandment.
EDIT:
John 19 and Romans 13 offer no argument for members of a democracy to insist on the death penalty.
The quote from Genesis sounds a lot like “an eye for an eye”, Our Lord had something to say about this:
“You have heard that it was said, ‘Eye for eye, and tooth for tooth.’ But I tell you, do not resist an evil person. If anyone slaps you on the right cheek, turn to them the other cheek also. And if anyone wants to sue you and take your shirt, hand over your coat as well. If anyone forces you to go one mile, go with them two miles. Give to the one who asks you, and do not turn away from the one who wants to borrow from you."