Well, interestingly enough, you present no compelling evidence to contradict the idea that Jesus engaged in social justice in the midst of his ministry. We have plenty of evidence from the gospels that Jesus was concerned with issues of social justice AS WELL AS drawing people to God.
These two ideas, btw, are not mutually exclusive.
He gave a believing Roman soldier acknowledgement for his faith--he didn't turn him away because he was not Jewish.
He healed on the Sabbath even though that broke with the Pharisees understanding of the law.
He interpreted "neighbor" much more broadly than those who asked him, "Who is my neighbor?"
He told the rich young man to give all he had away.
He allowed women to be a regular part of his teachings and he honored Mary (of Mary and Martha fame) for having a heart for learning over typical female expectations.
He called fishermen and tax collectors instead of the religious elite
He shared food with the masses.
He paid taxes.
He did not condemn a woman caught in adultery.
He told people to feed the hungry, give drink to the thirsty, visit the prisoner, care for the widows and orphans, etc.
While all of these are clearly engaging in spiritual ministries, these same actions are making SOCIO-POLITICAL statements. While Jesus's overt mission wasn't to overturn the status quo, one could make the argument that it was a covert agenda. One that worked, btw.
If you go to the OT, it is clear that God has always been concerned about issues of social justice. Why should be be surprised that Jesus would continue to address these issues? Certainly, Christians have continued the tradition of the OT and the teachings of Jesus in addressing these issues. This is why much of the world enjoys a higher degree of education, better medical care, social services to help the poor, etc. These policies aren't remotely Marxist. They're all Jesus. And many of the gains made in education, medicine, social justice were made by devout Christians following in the footsteps of Jesus.