This thread seems to have veered off from the original question, and some great points have definitely been made on both sides, for either pro-homeschool or pro-high school. That said, I’m not really sure the OP is still around to consider everyone’s points, but I’ll put in my two cents anyway. 
While I definitely concede that homeschooling is a viable option for some people in unique circumstances, overall I’m inclined to say that most people shouldn’t do it for a variety of reasons. I’ll grant that homeschooling probably provides a better education when it comes to the academics, but high school, and life in general, is more than just academics. Additionally, for anyone who intends on going to college as well, it’s probably a better idea to finish high school than to drop out, as college admissions officers tend to look at the entire individual—not just academics, but also extracurricular activities like sports, music, volunteering, hobbies, etc, which can all have a positive effect. IMO, anyone who drops out of high school because it’s “boring” isn’t doing it right. Plus, high school offers some crucial things that homeschooling either won’t or just won’t be as strict about, like the importance of physical fitness, and being rounded out with basic education on the essential stuff that every American citizen should know (history, civics, writing, foreign languages, science, math). If high schools only taught stuff that was “practical”, they’d be basically churning out students ignorant of their place in time and their community/city/state/country/world, and how could that be a good thing?
High school is also about the “sociocultural” experience to an extent as well, and it’s one of the most formative times in every person’s life to make potentially life-long friends, try out “dating,” and go to things like school dances and other school-related events. There’s no way that homeschooling can fill in for all of that, and I’d wager that anyone placing more importance on homeschooling for academics is missing the point of high school. Of course it’s not about the education in American high schools today. That’s what college is for anyway. High school is more for the experience of friends & early romances and other general life skills. If you’re not learning that in high school, then IMO that’s just unfortunate. Plus, I’d be willing to bet that most homeschooled kids end up getting the shock of their lives when/if they go off to college, while those who finish high school would likely be better prepared for that transition.