I don't doubt you feel very strongly about the services you offer children, and I commend you for that, but I'd make a couple of points:
1. I'm not sure about qualifications in the US, but here in Canada a doctor spends far more time and far more money to get the educational requirements necessary to be licensed to practice medicine - similarly, lawyers spend more time and money on their training.
2. Doctors and lawyers have significant overhead costs, regardless of whether they are operating on their own or if they're in a hospital/practice. Teachers are not paying for their classroom and supplies used in plying their trade.
3. Doctors and lawyers also have costs related to advertising and government mandated regulatory reporting whereas teachers complete documentation as part of the job but they don't fund it.
4. Doctors and lawyers can be sued and frequently are if their clients feel they've received inferior or unprofessional care. As a result, they must pay significantly for liability insurance, in the case of doctors often in the six figures area. Teachers, not only can't personally be sued for inferior or unprofessional care, they have a union that protects them and pays their legal fees.
5. Doctors and lawyers work year round, 10 - 15 hour days, on weekends, and are frequently on call. Teachers hours of work aren't nearly as onerous and teachers get significant time off during the year to recover and reenvigorate.
I'm retired after 30 years in education administration so I have some knowledge and sympathy for the position you advocate, but I don't think the comparisons are valid. I contend that the very best teachers I've come in contact with are ones that absolutely love teaching and have dedicated their lives to it and they are to be honored and respected. But lots of "professions" are honorable, respectable, and provide society as a whole with "priceless" benefits. I've had contact with an absolute saint who provided homecare for my mom in the last 10 years of her life and she was paid a pittance. This saint actually did save my mom's life on a couple of occasions.
I don't know what teachers are paid in your jurisdiction - I can tell you here in Toronto, elementary and secondary school teachers have a range that goes from about $35,000 for a first year teacher up to just under $100,000 for a fully qualified and experienced teacher. At least here in Toronto, the vast majority of teachers are in the upper pay brackets, with 20 plus years experience. While they constantly, continuously, carp about not being appreciated and deserving more in pay and benefits, there are precious few who give up teaching for another career. At least here in Toronto, with over 3 months of they year not teaching, teaching is a damn good career and very well compensated - it's why lots are trying to get in and few leave.