Well... I don't know... perhaps fighting your state of apathy isn't an effective way to approach the problem?

Perhaps you could simply accept how you feel... or don't feel... as the case may be. One way to do this is via the practice of compassionate abiding. Here's a link to a description of the practice:
Relieve Distress By Allowing It: Compassionate Abiding 101 | Mindset: Perspective Is Everything
And then here are links to 3 articles, from PC's archives, that hopefully may be of some help:
Empathy Vs Sympathy Or Apathy: What Empathy Is Not?
Empathy Vs Sympathy Or Apathy: Can Adults Learn Empathy?
How to Deeply Nurture Yourself