History of the 'Caribbean islands' is almost identical to that of 'Mexico and Central America' is true.
Explanation:
Mexico, the Caribbean Islands and the other countries in Central America like 'Guatemala, Nicaragua, Honduras, Costa Rica, and Panama' were all under the control of Spain for until the late 1800s.
All these countries including the Caribbean Islands got independence from Spain within a difference of a decade or two after fighting wars with Spain for long time.