Defining Justice

 SocialGalactician 'Bigfoot' posted a seemingly obvious question:

"Why is justice needed? Is justice part of the good/beautiful/truth?"

My first reaction was to scoff at the mere thought. Of course Justice is good! How can anyone not understand this? Then it slowly dawned on me. Like everything to do with Christianity, the wizards and their boss, the prince of this World, have had their crooked little hands all over the concept of Justice. Allow me to elaborate on two things: first, what Justice is, ie what God the Father of Jesus Christ of Nazareth made it to be, this will be capital J Justice. Second, I will investigate some of the perversions of God's Justice, and how they warp our minds into confusing fake justice for proper Justice. The perverted justice will be accordingly denoted with a small j.

Alright, let's look at Justice the way it should be. Zechariah 7:9 commands us to 'judge ye true judgment'. A translation into less Victorian English reads 'judge with true justice'. A short read of the context tells us that these are words that God Himself spoke to Zechariah.
Similarly, Psalm 105:3 reads as follows: 'Blessed are they that keep judgment, and do justice at all times'.
So what is this 'Justice'? It is, in short, the way things should be. It is Justice that that God be loved with all our heart, mind, and soul. It is Justice that we love our neighbor as ourselves. It is justice that a child abuser goes for a swim with a millstone for a necklace.
Specifically addressing Bigfoot's question, this does relate to the Good, the Beatiful, and the True. If we more closely examine the Millstone Pool Party, we read our Blessed Lord making the connection to the Good, the Beautiful, and the True. He says that it 'would be better' for the child abuser to never make landfall again. This is how it ties in. Increasing Justice and fighting Injustice creates more Good. Justice is what is best for everyone. For example: it is justice for a starving person to be fed through voluntary charity. It is justice for those of us with surplus to give to those in need. Not only is the person in need better off ( I hear not starving is one heck of a time ), but the person with surplus receives proof of their surplus ( they gave something away without suffering themselves ), which helps with the temptations of greed/avarice.
I would go so far as to argue that any amount of Goodness necessitates that Justice be restored and maintained with respect to the subject at hand.

Now for the annoying fake justice that confuses us, especially if we do not watch out for it. This comes in many forms, some more obvious than others. Nevertheless, all of them are sown by the prince of this world to prevent Justice from happening.
One of the most obvious examples of fake justice is the concept of social/racial justice. This idea of justice is nothing but institutional envy. This form of justice revolves around the idea that if someone else has more than you, that somehow makes them evil. If this sounds Marxist, that's because it is. Proponents of this perversion of morality will argue that we are all equal, and that, if someone somewhere somehow manages to be above this mythical equality, they must have gone there by being evil. Granted, it is possible to have more than your neighbor by being evil, namely by comitting theft. But it is the action of the theft that goes against Justice, whereas the having more stuff only goes against social justice.
Another, more insidious form of worldly justice is that of the state. For example, all law enforcement in the US goes through the Department of justice. Similarly, it goes through the Justizministerium in Germany. Similarly, the highest instance of the judiciary in the European Union is the European Court of justice. All of these institutions have justice in their name, even though they have increasingly little to do with Justice. Granted, they make a perfunctory effort to enforce Justice, with laws against theft, murder, and some other obvious ones. But then they also start enacting random laws that are at best external to Justice, such as divorce law, affirmative action, et cetera.
This perversion is really hard to detect, because it is not entirely a perversion. A large amount of the most basic laws are entirely in line with what Jesus preached. Most of the rest are fundamentally good ideas as well. Sure, nowhere in the Bible does anyone talk about running red lights, but anarchy on the roads is in nobody's best interest. If in doubt, I would encourage the reader to go for a drive in Rio De Janeiro, Istanbul, Mumbai, or another large city where traffic laws are mostly opinions.
All of this stuff is smoke and mirrors though. The same state that gave us safe high-speed travel with the DMV and FAA also gives us Churchianity, by bribing religious leaders with the golden carrot of 501c3 tax exemptions.

Those are the only two I can think of right now. Thanks to BigFoot for the prompt, and thanks to Cyrus for the Scripture references.

TLDR: Justice is necessary to Goodness, but there is a lot of fake justice out there.