Just because he doesn't care, that doesn't mean it's a woman's job to magically "stop caring" too.

I understand what you meant by that, and this isn't so much a judgment directed at you specifically - but it's not realistic and it isn't fair to make such a statement and present it as a valid solution. Women are forced to pseudo-care about a lot of things for the men and kids in their lives. Emotional intelligence means learning to value the things your loved ones value, even if it's not the same as passionately caring about them. If your partner really cares about something and you tend to discount it, the answer isn't for her to stop caring...it's for you to be a better partner!