Social Justice is a term that means many things, and is used in many ways. The arguments about whether social justice is good or bad might remind us of an argument about whether or not a bat is a living thing. Any time a controversial term has multiple meanings, it is easy for tempers to flare and arguments to ensue, as all sides attack their opponents based on perceived variations from their own definition of the term.
Let's suppose that social justice is defined as fairness within a society. Then we can re-phrase our question as "Is societal fairness good or bad?" The answer to this question depends on what is meant by "fairness." This may seem trivial, but in reality what one person defines as fair is often quite different than what others perceive as fair.
Because perceptions of fairness differ, true "fairness" within a society can never be achieved in a way in which all persons within a society will agree, unless one or both of the following conditions exist:
1) everyone within a society resolves their differences of opinion and "fairness" comes to mean the exact same thing to every person for every situation.
2) everyone chooses of their own will to place their trust in a particular source, which will make the ultimate decision as to what is fair.
The elected leaders in the government of the United States together with laws is an attempt at the source mentioned in #2 on the list above, But not everyone chooses this source of their own will. Thus, tension will remain until people choose to accept fairness as outlined by this source, or the source is changed to conform to the will of the people.
Does Christ preach social justice? He does preach fairness, but the fairness He preaches is fairness from the perspective of God, not of man. That means that what God says is fair is what matters, not what men perceive as fair. This means we do not have to believe that what our government says is fair is actually in conformity with Christ's teachings, simply because they term it "social justice" or "fairness." Naming a particular law or policy "social justice" does not mean it is social justice according to God.
Should we question our churches, pastors, government, etc., if they teach social justice? Yes, if they are preaching a definition of social justice that is not God's definition. No, if they are preaching a definition of social justice that is God's definition.
What is God's definition? As far as we can see, He does not use the term in Scripture or modern revelation. As far as we know, God has not revealed an absolute definition of the term. When scripture or revelation is cited to support or condemn social justice, the scripture is always about something related to a part of the apologist's definition of the term. In this way, the same scriptures can be used to support or condemn social justice.
Before we condemn or praise others for their opinions on social justice, we ought to figure out what it is they are talking about, and base more of our criticism or praise on the meaning of what they say.