Perpetuating
The word "perpetuating" is appropriate in this context because it signifies the continuation or prolongation of an injustice. By not taking steps to clear their names, the speaker suggests that the injustice will persist, emphasizing the need for action to prevent the ongoing harm or negative consequences. "Redressing" would mean correcting or resolving the injustice, while "alienating" implies causing a sense of isolation or estrangement, neither of which captures the idea of allowing the injustice to persist as effectively as "perpetuating" does in this context.