"This is in large part because care for family members(children and elderly parents usually) is more often foisted upon women in our society than on men."

I disagree. The primary cause is that women can become pregnant - the possibility alone is in most cases enough - in which case they leave the work force for X amount of time. Depending on country, laws, and personal preferences this time period can range from a few weeks to years. In some countries when this hypothetical becomes a reality it can have a large negative impact on the employer. For instance, in Germany the woman's job position must be held open for her until she decides to return to work (possibly years later), not to mention the full salary compensation months before and after giving-birth, when she is no longer working.

But to simplify it down to flatland, lets assume a woman were to just take 1 day off before giving birth, have a job that required no movement or lifting, and the employer didn't have to compensate her. Still, in this simplest case, a woman is at a disadvantage compared to a man.

Because of this biological disadvantage, I think there will never be the sort of absolute equality we want until people are born in tubes or the capitalistic employer/employee relationship changes.