You're right. It's _one_ of the prime places.

I don't know a single homeschooler that sits at home all day long. They work in family businesses, participate in bands, sports, and co-ops. Many belong to churches where families come from all different strata: our church has surgeons, line cooks, programmers, self-employed handymen, disabled vets. They interact with everyone—including kids. They do things like "kid markets" where they have a business. They watch their parents learn how the house works and how to manage finances.

There is no forced engagement—in fact the peer pressure is often completely gone. They are in an environment (their family) where they are much freer to be themselves.

Sure, but I don’t like how society is functions. I don’t like the direction in which society is headed.

That is why my solution is to be selective in who I socialize with, find a like-minded partner, and have lots of children.

My intent is to create a new society and culture free of the rot that infects every public space today.

I get where you're coming from but I think your statement is a bit naive.

Education systems as we know them today are absolutely about indoctrination in so many ways. Capitalism, love of country, views on family units, beauty and aaesthetics, what has cultural value and what does not etc etc. Not to mention many school systems just straight up having classes on religion, allowing armed forces into schools to recruit and the like.

Whether you're worried about left wing or right wing indoctrination, it still holds true. All kids are being indoctrinated every time they go to school same as every time they watch TV.