I don't think this is nearly as arduous as you are presenting it. Parents have a lot of options on getting their kids to school. Talk to your neighbors and figure out a carpooling system, have them take the school bus, have them walk or bike to school. Whatever, there are options. It's not always, 'you must drive your kid to and from school.'
Schools, similarly, have a lot of options. Normally the extracurriculars are after school because that made it easier for parents to work a full day and then pick their kid up. There is absolutely nothing preventing schools from putting extracurriculars in the morning, and I can say, for a fact, that my high school, which started at 9 AM years ago, did exactly that. It was actually nice that way because the light workout from extracurriculars are a decent way to wake up in the morning.