Dear snarks_when_bored,
1. Not sure what you're asking.
However, maybe if I tell you a little bit about our own experiences, and those of other homeschoolers we know, I might (accidentally) answer your question. ;-)
We homeschool, and like many homeschoolers, we actually "do" most of the educating ourselves. We purchase a curriculum from a private source, but we do nearly all of the actual teaching.
However, even we participate in cooperative homeschooling activities, such as art classes, science projects, athletic groups, chess club, etc., where our kids receive some aspects of their educational experience other than within the confines of our little family.
Other homeschoolers actually go a bit further. There are several groups of homeschoolers local to us that offer classes in various subjects on a cooperative basis - that is - over the course of time, each family will occasionally teach a class on a subject of interest to the general group. These can be classes that are "enhancements" beyond the traditional core curriculum of reading, writing and arithmetic. Often, languages are offered in this way, as are music theory and appreciation, art, and other "extras." But sometimes, even core subjects are offered this way.
As well, there are folks who are engaged in homeschooling themselves with significant experience and credentials in teaching kids. Often, these folks provide instruction to very small groups of children (seldom as many as a dozen) for very modest fees ($20 - $40 for four weeks' instruction, once or twice a week).
Finally, there are subject-specific tutors who also charge modest rates to supplement the educational experience. My sons have weekly piano lessons with a certified private music teacher. The costs are modest and the level of instruction is very high. My sons, ages 10 and 7, have participated in judged competitions, and received high marks therein. Most of the students in these competitions are homeschooled.
I know tutors who provide similar instruction at similar modest costs for subjects such as foreign language, math, science, history, and English, as well as others.
Thus, while the family, that is, the parents, are in exclusive control of education, they work cooperatively with otheers to expand the educaitonal opportunities of their children.
2. Yeah, I know. It's tough for me, too.
The problem is that a thing cannot both be and not be at the same time.
If the state is permitted to require education, then I can't figure out how the state doesn't get to define education. Once the state gets to define education, then the family begins to cede important authority and control over the education of its members.
The older I get, the more evil that seems to me.
Having ceded control of the definition of education to the state, in principle, one finds it difficult to prevent the state from using education as a means of indoctrination.
Worse, in the long term, it does not seem to be the indoctrination as would be defined by the majority of citizens. That form of tyranny would be somewhat tolerable. But I think the argument can be made that over time, the definition of "education" will be made by those special interests that take control over the state system of education, which in our country, is the NEA and related propaganda groups.
Thus, given the choice of compulsory education that ultimately falls prey to definitions of education by a small unrepresentative elite entirely disconsonant to what I hold dear, and control of education by the family, I'm inclined to go with the latter, not the former.
3. Lots of folks, lots of families, probably most, can provide even the basics of high school education for their children. However, my own perception is that families will need more of the resources I mentioned in point 1. than they need at the primary and elementary level.
However, I'm not opposed to schools, either.
I'm just opposed to government control of education.
sitetest
Public education at the pre-collegiate level is pretty much of a mess, but I don't see homeschooling and the sort of cooperative network (with exchanges of emoluments) that you describe as an answer to the problems. That sort of solution doesn't appear to me to be capable of being scaled up to what's required by a society of 300 million or so people. Perhaps I'm wrong about that, but I don't see the way to do it right now.
Best regards to you, and may your home-schooling efforts continue to be rewarded...