Jenny Bristol, Homeschooling Parent, Writer, and Editor
What a great question!
I strongly believe in creating a single persona. Your kids need to know that they can come to you with non-school-related questions during the day, and that you'll be an understanding parent even during lessons. They will need you to be your regular self.
I find that the kind of boundaries I've created as a parent are exactly the same ones that work for teaching. If you're too strict with teaching (or have a persona who is not at all lighthearted), your kids won't feel like it is the same person teaching them.
As you learn how to homeschool your kids and fit education and learning into almost every aspect of your life, you'll find that it will begin to all blend together anyway, especially when your kids are younger. There won't necessarily be clear divisions between "school" and "the rest of your life". For older kids, with more formal lessons, it ends up becoming more clear where the boundaries of formal schooling, casual learning, and other times are. You don't need to artificially create them. But if you prefer to do that, perhaps certain times of the day are reserved for schooling. Then everyone will be on the same page.
I would think that it would be pretty difficult to maintain two separate personas. Perhaps others homeschool their kids differently from how I do it, but I think it would detract from the experience to try to be someone else during school hours. Plus, my kids would wonder what happened to their parent.