LOL i just wrote a long response to this and then my LO hit the keyboard and deleted it all! Talk about too much togetherness!
The long and short of it is this: because I homeschool, I can adjust to each child's unique needs. My oldest is a handful, very spirit, very smart, and very strong-willed. If I tried to get her to sit down and do "school," it would be a disaster. But luckily I don't have to do that. Instead, we unschool, and she takes math and science books to bed with her. It's all just stuff to her, different things to learn and do. My Little Pony is just as interesting as Jupiter (her favorite planet). But she started reading at 4, and now, at 6, is at a 4th grade level. I literally just take her to the library and buy her books. She does the rest. There is no battle then ;-)
All this togetherness has actually been really productive for me. I lived alone for many years before meeting hubby, and adjusting to him was hard-work. Now with kids I've had to truly learn patience, compassion and empathy. I'm thankful for having this opportunity.
My kids all seem to want to stay home. My oldest is adamant about not going to school. Her brother asked once to go, but then decided he'd rather stay home and play rescue bots. He is going to be my storyteller, so I'm happy to let him imagine all day long. He is already doing subtraction and some multiplications, and he can sound out words, so I think he's good to go.
I think most HS families get a rhythm down that works for them. My friends know that around 1:30-2, they can find me drinking tea while the baby sleeps and the other kids watch videos. This is precious downtime for all of us, and it helps us to recharge and be together happily. If one kid is frustrated by another, they just go off, to read or to sleep, as the case may be. And you can always tell anyone else that you just want to be alone. We choose to be together, and if and when it isn't pleasant, we find alone time.
I honestly don't foresee any big issues. My kids seem to be thriving in this environment, and I would assume it will only get better as they get older.
We do need a bigger house, though, but that will happen soon enough ;-)