I would say that many people do consider dentistry to be in the same catagory--All are quite under rated by the public. Here's a clue to public perception:
Name one tv show starring a dentist, podiotrist or optomotrist that is cool?
Name one dental/podiatric/optometry breakthrough that has made headline news in the last year?
Dentists/podiatrists/optomotrist just aren't as well publicized as other professions.
I work in a hospital, and in the past few weeks as I have talked with people about applying to dental school, they don't have a clue about what it takes to be a dentist. Many people think it is like a trade school. They see the advertisements for getting your dental assistant training at the local tech school, and they assume those same tech schools are training dentists too. I've talked with half a dozen people that think dentists go to maybe 2 years of training after undergrad.
I think dentists, podiatrists, optomotrists would all be more respected if people knew about the tough undergrad pre-reqs (o-chem, anatomy, etc), the high competition to get into school (at least for dentistry), the killer course work in school, the massive debt, and the difficulty of being a good practitioner.
Until dentists get cool TV shows like ER, America will never really appreciate the dentists.