As an (O)MS4 heading to an allopathic residency, I don't feel particularly strongly about the degree thing, mostly because it just doesn't come up that much. Sure, a handful of patients have asked about it during my clinical years, and rightly so, I myself didn't know about osteopathy until after I finished undergrad. As an applicant I had a good MCAT and relatively lower GPA, and applied to one local DO school and less than a dozen MD schools. I was wait-listed at several schools, and ended up only getting into the one. Does this say something about competitiveness of osteopathic schools? Probably, although it likely says more about my application strategy (or lack thereof). Did it make me less of a medical student or candidate for residency? Nope.
I guess if I didn't have to jump through too many hoops (but really, in the process of becoming a licensed physician, what are a few more hoops?) I would rather have an MD. Mostly to avoid ever having to explain osteopathy to someone ever again, rare as it may be necessary to do so. Plus, MD is just a sexier brand. Then again, anyone who thinks DO isn't sexy hasn't seen me adjust pubic bones.
Overall, I couldn't be happier with my training, but that being said I was happy when my younger brother was accepted by an MD-granting institution earlier this year. There will always be a few people who are both aware enough and uninformed enough to be anti-DO, just like there are people who wouldn't choose a doctor with brown skin or a foreign accent. All are poor indicators for judgement of someone's clinical acumen.
Without much knowledge of the politics surrounding such issues, I can only imagine that such a change is unlikely to occur. I certainly would not strongly advocate for nor actively seek a degree change. That being said, if someone put the option in my lap, it would be a no-brainer for me, or I would think anyone not planning to incorporate OMT into their practice...