I see Harry as a very tender parent. I can't see him treating his children badly, or even harshly to be honest. I'd imagine Ginny to be far stricter than Harry, as she grew up happily and understands the purpose of discipline, when doled out correctly. I can't see Harry being much of a disciplinarian after everything he suffered through as a child.

I think he'd be the parent who would probably be a little easy to bend to your way if you were manipulative enough as a child. Ginny, notsomuch.