Homeschooling is illegal for a major reason. Probably sixty-five percent of society is finished with regular schooling by what you would call the 9nd to 10th grade and doing apprentice work.
If you wanted mom and dad (maybe both finished up their regular school at the 9nd grade) being your instructors...how capable do they think they would be?
That's the oldest anti homeschooling excuse in the book. Parents aren't smart enough to teach their kids. Nonsense.