Blessings are upon the head of the just: but violence covereth the mouth of the wicked. The memory of the just is blessed: but the name of the wicked shall rot. -Proverbs 10:6-7, KJV
Everyone loves justice. In fact, just looking around the world today shows this, with all variations of the protests and marches for equality and justice.
However, both those who are perceived as causing injustice and who fight against those injustices deal with public image.
Perceptions
How you pursue and create justice matters as much as finding justice.
Those who act and speak justly tend to be loved and (or, at least) respected. Others heap “blessings upon [their] head,” and they are remembered fondly when they are gone.
Conversely, those who resort to injustice in the search for justice are not only hypocrites, they may try to conceal violence and wrongdoing, lash out verbally and/or physically against those they disagree with, and/or condone injustices committed against their opponents. This ultimately leads to people speaking poorly of them, and it may not change after they are gone. Think of how Hitler is perceived so negatively. His name appears to be rotten.
How you act matters.
People will see what you do and judge accordingly. Further, justice is acting out the greatest commandments of loving God and loving others.
God has even told us His expectation:
He has shown you, O man, what is good; And what does the Lord require of you But to do justly, To love mercy, And to walk humbly with your God?
Micah 6:8 NKJV