Characters
Mr. President, the American people have a funny way of deciding on their own what is and what is not their business.
— A.J. · The American President

Behind the line May contain spoilers.
Our reading
An editorial interpretation.
The speaker tells the leader that ordinary citizens have an unpredictable habit of settling for themselves which matters concern them, rather than accepting someone else's boundaries. The wry 'funny way' softens a firm point: public interest is defined by the public, not by officials.
Context reviewed