For what it's worth, I like that you say we must judge situations, but I don't feel called to judge people, but rather to forgive people.
Forgiveness is a wonderful quality but it has a place. When the Bible talks about forgiveness it's first talking about forgiveness between believers.
When the Bible talks about loving your enemies well, that's different but you have to understand love is Covenant in Scripture, God gave His Son to be in Covenant with us, Christ is love because Christ is Covenant. God so covenanted (loved) with the world that He gave His only begotten Son, that's a massive covenant - the New Covenant.
When we forgive and love our enemies we invite them into covenant with us - the covenant we are in with God through Christ in His Holy Spirit In other words, we love them enough to share the Gospel with them, and help them with their physical needs if God has given us ability.
We see former jihadists meet up with men of God and become born again Christians and we forgive them for their sins and invite them to live with us and help them start a new life, a new life in Christ. That's the purest and most Biblical form of loving our enemies and forgiveness of our brother.
There's a couple issues at play with how Christians are to deal with the world around us - personal, what is our place as Christians, what are we called to do in our personal lives as regenerated people living in the Spirit.
But then you have societal. First is the smaller aspect of our society, the body of Christ, your family, your local church body, your own actual neighborhood and our watch here.
And then finally main societal as far as what Caesar controls, what is under the purview of government and this sphere of responsibility.
In Bible times there was no say by the Church in government. All they could do at best and certainly not even always that was make requests from those who had power in government.
Now times are different and so we have to consider what our responsibilities are in the times we live with the government writ large.
Americans founding fathers have done a good job of hammering out the most Biblical expression of Protestant government under the New Covenant from what I can see, and I'm blessed to live under it.
But this last sphere, it touches both world and faith, so we have to carefully consider everything.
We can remain within our own sphere of personal faith and be the most Godly form of forgiving possible, and still support the governments role in punishing the evil doer because the government has a different role than the individual Christian - because the governments job, one of them, is to provide a safe place for their citizens to live, so for government letting the murderer free is not living out it's responsibility under God.
It's a matter of looking at all the issues rightly and making sure we are keeping everything in its correct place from a Biblical and Christian standpoint.
As far as continuing to respond to the rest of your post I'll stop here otherwise I'll be writing a book not responding on a discussion forum... Lol.