John Kennedy actually said...
I think the most important issue, and it is not political in the partisan sense, but it is the issue which concerns us all, is how we can live on the same globe with the Communists, both possessing hydrogen capacity which could destroy us all, and try to live in peace and protect our security, and continue to survive.
Context
Question and Answer Session, Statewide TV Appearance of Senator John F. Kennedy, Civic Auditorium, Seattle, WA
09/05/1960