Agree on the first point, but on the second, there is something to be said about having an MD degree over a DO.
You can deff feel a stigma once you are in the system, at least at the educational/residency level, DOs are treated differently when it comes time to apply for things, rotating places, and even educational background has come up on numerous occasions when I have talked with just the few Directors of residency programs in a casual setting. There are fields that have "soft doors" closed to us like Nuerosurgery, ENT (especially the subspecilties), to some extent Optho, Derm to a large extent and maybe urology. Are there people in these fields that are DOs? Sure, but there is also a person in your hometown that has won the lottery, odds are stacked against you.