There is absolutely no question that the MD/MBA will be an asset not only during your search for residency, but also later in your career.
I completed an MD/MBA program, as did two other residents in our program. While there are certain individuals who will question your motives and will give you a hard time, the vast majority of interviewers will understand the indispensable utility of an MBA throughout your career as a surgeon, and they'll respect your ambition. Further, it will serve as an interesting focus for discussion during the interview.
Please feel free to PM me to talk more.