Suggest you reconsider your use of terminology.
Recognizing the difference between 'America' and 'the Americas' might be helpful.
However, as you opened this continental can-of-worms...
Given the recent addition of Oceania to the list of continents perhaps a review of the countries and territories making up the Americas is also in order.
According to Worldmeters.info North America is comprised of thirty-nine (39) separate members:
Anguilla | Antigua and Barbuda | Aruba | Bahamas | Barbados |
Bermuda | British Virgin Islands | Canada | Caribbean Netherlands | Cayman Islands |
Cuba | Curaçao | Dominica | Dominican Republic | El Salvador |
Grenada | Guadeloupe | Guatemala | Haiti | Honduras |
Martinique | Mexico | Montserrat | Nicaragua | Panama |
Saint Lucia | Saint Martin | Saint Pierre Miquelon | Sint Maarten | St. Barth |
Trinidad and Tobago | Turks and Caicos | USA |
Similarly, Worldmeters.info shows South America is comprised of fourteen (14) separate members:
Argentina | Bolivia | Brazil |
Colombia | Ecuador | Falkland Islands |
Guyana | Paraguay | Peru |
Uruguay | Venezuela |
While not going into as much detail as it may warrant, I'll point out a few points that may, or may not, be seen as general points of contention.
Aruba (Bonaire, Curaçao) each a protectorate of the Netherlands laying a short distance north of Venezuela. The proximity of an area considered to be part of North America so close to the South American continent might be problematic to some.
Same goes for islands making up the West Indies running from Grenada north to Saint Kitts and Nevis. All are considered to be parts of North America but much closer to South America.
Though they lack the economic clout needed to financially back the suggestion, the Caribbean islands and the nations of Costa Rica, El Salvador, Guatemala, Honduras, Nicaragua, and Panama could form their own cross-continental group and be called Middle America, Latino-Carib, or any name they prefer.