Where is your MBA from?
If from a good school they will help you far more than the clowns on this board.
If not from a good school, then you may well have shot yourself in the foot somewhat, as companies could view you as purely an MBA candidate, but from a non-target school, which will make it hard irrespective how good the rest of your CV is.
If that is the case for you I am not sure what to suggest, other than to try and position your application as a doctor first and foremost, and an MBA candidate as little as possible.
Just guessing though really
From a firm perspective, McKinsey, LEK, BCG all have life science groups. ZS do pharma marketing. There are lots of boutiques, but they may well want someone that is already 'trained' at a big firm.