Oh I agree completely about income inequality, it's a serious problem. I don't think taxation is the solution though, at least not straightforwardly. The problem isn't so much not enough taxing people, it's taxing the wrong things and giving ta breaks to encourage rent seeking behaviour. So we should seriously look at land value taxes for example, but that doesn't necessarily mean increasing overall taxation. The tick is getting the balance right so you're not distorting your economy.
Child care, elder care. Cleaning the house, cooking the meals, getting the groceries, checking the homework, packing the lunches, scheduling the playdates, planning the parties, booking the doctor’s appointments, getting everyone where they need to be, paying the bills, making the calls, preparing activities.
As for taxes, we’ve chosen to allow income inequality to reach ridiculous levels. There are other choices.