I believe the solution is probably more along the lines of taxing everyone fairly, and using some of the funds to provide free or affordable childcare to everyone who wants/needs it. Likewise with other forms of family support/advantages. Provide alternatives for people who don't have things by birth-lottery.

So you can still have grandma watch your kid all you like, while the person who has no living relatives can still have a kid and hold a job by taking advantage of subsidized daycare.