Double Sigh!
The "generalized" definition of Chiropractic you wrote there is not something I or anyone else should interpret as simple "bone manipulation." Where in that definition does it mention "bone" or "manipulation"? You need to be more specific or find another definition.
Correct, Chiropractic here in the states is also considered Complementary and Alternative Medicine (CAM) and not part of conventional or "allopathic" medicine (M.D., drugs, surgery, etc.). However, Chiropractors diagnose and treat back and neck pain and are considered by definition "primary care physicians" as they are often the first doctor a patient will visit when experiencing back pain. According to the BCA (British Chiropractic Association), Chiropractic is also considered "primary care" in the UK.
This all ties back to the original purpose of this thread which was, "What do you guys do for low back pain?"
Google "Clarence Gonstead." He was a biomechanical engineer turned chiropractor who built his model of Chiropractic on a basic biomechanical principle of physics (The Homer Kelley of Chiropractic maybe?
). You may be able to find a Chiropractor in your area who practices using his system.
Good Luck!