This post goes all over the place, sorry.
Well, considering that Keisuke and I are probably both going to be working class for the foreseeable future, public school is the only true possibility. I don't doubt that I'm smart enough to homeschool our kids and I probably will supplement their education at home (especially while they're still in elementary school), but I don't think I'll have enough time to completely homeschool if I want to make sure we're all fed. Plus, I think it's best for kids to interact with others their own age as much as possible, even if not all interactions are perfect. I won't lie, I'd probably worry about both of them getting bullied, but there's not much I can do about that except to prepare them for the worst. If possible, they could go to private high school (one of them is definitely smart enough to do this on scholarship), because hopefully I'll have a better job by then so we could afford it. I think they'd rather not be separated so we'll see what happens.
I think they should both learn what they're interested in, as well as things that are practical. It's difficult because I think that my kids actually have pretty different needs in terms of what they want/need to learn. One of my kids needs no help at all with English or history, whereas Asriel probably does. I'd try to help them where they struggle and encourage them where they do well. Obviously, they need to know stuff like English, math, and science. I don't see either of my kids being into my favorite science (physics), funnily enough, but instead chemistry and biology respectively. As for other subjects, I can see them being into art and music. They are both creative kids. Honestly, I also hope they get a class like woodshop or similar. There are a lot of skills that I don't have that I wish I did that I could have learned from that class. I think Asriel would enjoy it, too. Both of them would probably be interested in computer science but I also see them both getting very frustrated with it, haha.
Asriel has a soft heart so I think there may be a few days where he comes home from school crying because of something he learned in history. Poor thing. The other kid might get into trouble sometimes for smart-talking, which I'd have to discipline, or fighting back against bullies or protecting Asriel, and I'd fight as hard as I could to make sure that it doesn't happen again. I know from experience that it will, but I don't want my kids to have to suffer more than they already have.
I think both Keisuke and I would be as active as possible in our kids' educations, and we'd love to go to any extracurriculars as well. I bet Keisuke would help out if either of them decided they wanted to play a sport and help coach or assist at games, and I could definitely help if they were musically or dramatically inclined with costumes or music directing. Or even it's something different that I haven't thought of, like a math or science team where I couldn't actively help much, I'd love to be there to cheer them on and assist with travel or whatever they needed. We want our children to be the best they can be, so supporting them the best we can is a no-brainer.