Why not? I think all that it would depend on is securing licensure in the country you intend to practice in. Many of the professors at Ross are also practising physicians in Dominica. They are quite highly respected by the locals as well.
Remember, at most Caribbean programs all you are doing in the islands is your basic science training. You do your clinical training at teaching hospitals in the U.S. Once finished, you complete a residency at a ACGME approved site. Then you are licensed to practice in the U.S., namely the individual states that recognize your credentials. If you want to, say, practice in the U.S. Virgin Islands, I would imagine that you would have to apply to their medical board for approval. If that islands accepts your credentials - again - why not?
We've had this discussion before, but just to reiterate: an M.D. is an M.D. regardless of where one did their training. I don't see any reason why a particular island in the Caribbean would not accept a physician's license, especially if that license is from the U.S. Of course, the key is completing one's training in the U.S.
