Absolutely Yes! We have to fight the injustice around us and for that we need to judge others cause unless you do that you cannot have justice around you.
This question has its source in verses at Mathew 7:2-5, where it says that we are not supposed to judge others. These verses however are not to be viewed through a narrow perspective. As is always in all the other verses of Gospels, there is much deeper wisdom and understanding in these words from Jesus. Gospels or the teachings of Jesus which are recorded in these Gospel are not superficial commands just to be read literally, understood and implemented as is the case with so many other Books. Here each sentence in Gospels are like a goldmines under an ordinary soil. As you go deeper you find more wisdom hidden in them. This I am sure has been realized by everyone who have read Gospels in pious manner. Certainly they are goldmines, because it is not from an ordinary human being but God Himself proclaiming His heavenly secrets to us.
Matthew 7:2–5 For with the judgment you pronounce you will be judged, and with the measure you use it will be measured to you. Why do you see the speck that is in your brother’s eye, but do not notice the log that is in your own eye? Or how can you say to your brother, ‘Let me take the speck out of your eye,’ when there is the log in your own eye? You hypocrite, first take the log out of your own eye, and then you will see clearly to take the speck out of your brother’s eye.
What Jesus was condemning here was hypocritical, self-righteous judgments of others, not the actual judgement as such.
Note that Jesus said: first take out the log from your own eye, meaning first make amend to your life, feel sorry for what you have done, confess your sins, ask pardon from God and make good for any loss that you have done for others and then go and speak to your neighbour for pointing out his mistakes (show speck in his eye). That is the time you can judge others not before that lest that would be a perfect hypocrisy.
Say you have pocketed something that was not yours some time back and you just saw a robber coming out after a burglary in a house. The moment you see that robber and realise that he is doing something wrong, and have an urge to expose him, at that moment you also need to realise in your conscious that you have done something similar yourself. What you have done is also wrong and accepts the guilt. If do not accept your fault deep inside and pass judgement on that robber, that is the hypocrisy and that is what Jesus meant in Matt.7:2-5.