Only a minority of those who engage in political action do so out of a sense of social justice.
Conclusion (therefore)
Some people who have a sense of social justice do not engage in political action.
Evidence
Only a minority of those who engage in political action do so out of a sense of social justice. (rephrased: most people who engage in political action do not do so out of a sense of social justice)
Evaluate
The conclusion is just claiming that there is at least one person who has a sense of social justice, but doesn't engage in political action.
The evidence tells us about people who engage in political action, and have a sense of social justice (that's the minority) and it tells us about people who engage in political action and don't have a sense of social justice (the majority).
But the evidence never talks about people who don't engage in political action.
Goal
Since the premise and the conclusion are repeating the same symbols (engaging in political action / sense of social justice), it makes sense to write this algebraic recipe:
CONC: Some A's are not B some [social justice] are not [political action]
EVID: Only a minority of B's are A only a small number of [political action] are [social justice]
We may have to recognize the evidence turned from negative to positive. Saying "only a minority of B's are A" is equivalent to saying "most B's are not A".