Please check your facts.
Naturopathy may or may not equate Naturopathic Medicine legally.
Naturopathic doctors who graduate from accredited programs can be licensed as primary care physicians, for example in Washington state. States which do not regulate naturopathic medicine will often have charlatans advertise themselves as NDs. Unaccredited correspondence schools offering various flavors of diploma mill fare have been extremely vociferous fighting regulation of naturopathic medicine. More information at http://en.wikipedia.org/wiki/Doctor_of_Naturopathic_Medicine
Term 'naturopath' itself may or may not be protected depending on the state. California licensed naturopathic doctors starting in 2003. However, title 'naturopath' is not protected. See P.3645 http://www.leginfo.ca.gov/pub/03-04/bill/sen/sb_0901-0950/sb....
According to your link, they can write out prescriptions with the exception of controlled substances other than codeine and testosterone: "Controlled substance
prescription are limited to
testosterone and codeinecontaining substances in
Schedules III-V." More on controlled substances: http://en.wikipedia.org/wiki/Controlled_Substances_Act