Which two political movements emerged in late 1962 in Cayman?

The political landscape in the Cayman Islands saw significant developments in late 1962, notably marked by the emergence of the Christian Democratic Party and the National Democratic Party. These two parties signified a shift towards more organized political structures within the islands, responding to the growing demand for representation and governance that aligned with the evolving political sentiments of the populace.

The Christian Democratic Party aimed to embody social and Christian values within its political framework, promoting a governance style that integrated ethics and morality into public life. Meanwhile, the National Democratic Party emerged with a focus on representing a broader spectrum of the Cayman population, aiming to address social issues and economic development. This political dynamic was crucial in shaping the islands' governance and set the stage for subsequent political movements in the Cayman Islands.

The other choices do not accurately reflect the key political movements that arose during that period, thus making the identification of the Christian Democratic Party and the National Democratic Party as vital constituents of Cayman Islands political history correct and significant.