On the contrary. The Veterinary Dictionary(
Saunders Comprehensive Veterinary Dictionary 3rd Edition, by D.C. Blood, V.P. Studdert and C.C. Gay, Elsevier) defines a physician as: "A veterinarian who devotes him or herself to work with medical rather than surgical or reproductive diseases."
Not that I care one way or the other. I'm not interested in the title, except for Veterinarian. They can keep the Dr., I just want the career and profession!
To the OP: You could calculate the acceptance rates to each. Total number of admitted/Total number applicants. That might give some insight to your question (It would be a little work, compiling data from all of the schools, as well). As far as respect goes, it is relative to the issue at hand. The vet I work for has M.D.s' pets as patients. The M.D.s do not feel any more qualified to diagnose their pets as the vet feels to diagnose herself or her children(In fact, the regular clients are the ones who "know" what is wrong with their pets because they "looked it up online"). Of course, the medical training of each would give them similar knowledge and skill sets, yet each respects the other for their specialty. I would view a dentist in a similar manner.