"your success as a family, our success as a society, depends not on what happens in the white house, but on what happens inside your house" is an example of antithesis.
The answer is true. It is a linguistic device in which 2 contrary thoughts are put together in a sentence to attain a conflicting effect. Antithesis highlights the indication of contrast by similar structures of the compared phrases or clauses. In other words, the arrangements of phrases and clauses are like in order to get the responsiveness of the audience.