Most homeschool families I know get along just fine on one parent's income. Sure, they live in a tiny house and drive used cars, and they don't go on vacation to Hawaii every year, but they make it...
You choose where to sacrifice. Which do kids need more; the newest Nikes, or a decent education?
To re-use some of the words from the title, 'imagine that', a child who is taught by their mom or dad and also learns to think on their own without some de-facto government teaching employee to map out their day for them. This is revolutionary! See, you really don't need a village, just your parents.