I looked it up on Wikipedia (keep in mind that's not a 100% legit source so I would double-check), and this is alarming:
Accreditation
The Government of St. Kitts and Nevis has granted the University of Medicine and Health Sciences of St. Kitts the authority to confer on graduates who have successfully completed the University?s prescribed course of matriculation, the degree of Doctor of Medicine. The charter granting the right to confer these degrees was signed on August 24, 2007.[1]
UMHS is listed in the Foundation for Advancement of International Medical Education and Research (FAIMER) International Medical Education Directory (IMED) [2]
United States
California: The Medical Board of California does not yet list University of Medicine And Health Sciences as a recognized medical school, and states that "the education and training received at an unrecognized school is not acceptable for licensure in California." UMHS has not been either recognized or explicitly "not recognized" by California as it has not yet applied for such recognition. It is likely that UMHS will seek formal recognition in California at some point in the future.[3]
Indiana: Uses California's recognized list, making UMHS graduates currently ineligible for licensure.[4]
Kansas: State regulations require "a graduate of a school which has been in operation for not less than 15 years and the graduates of which have been licensed in another state or states which has standards similar to Kansas." [5]
North Dakota: Uses the California Medical Board list of disallowed schools, and states "Graduates of these medical schools should not presume eligibility for either resident or permanent licensure in North Dakota." Since UMHS is not on the disallowed list, its graduates may be eligible for licensure in that state.[6]
You can't actually use it to become a doctor in at least California, Indiana, Kansas or North Dakota. It doesn't list other states but so far it doesn't look good.
http://en.wikipedia.org/wiki/University_of_Medicine_and_Health_Sciences