In case you had any doubt, government attempts to ban homeschooling (in this case, in Brazil) have nothing to do with concerns over your child's academic smarts.
Brazilian Couple Receive Criminal Conviction for Homeschooling
Verdict given despite sons passing law school entrance exams -- at ages 13 and 14
Despite the fact that his children passed difficult government imposed tests, and even qualified for law school at the ages of 13 and 14, homeschooler Cleber Nunes and his wife Bernadeth have been slapped with fines equivalent to a total of $3,200 for refusing to submit their children to the Brazilian school system.
Although homeschooling is common in many countries, including the United States, and is associated with higher levels of academic achievement, it is completely prohibited in Brazil, the government of which has become increasingly intrusive in recent decades following the establishment of a socialist regime in the 1990s.
More here.