We hope that the world will not narrow into a neighborhood before it has broadened into a brotherhood.

Lyndon B. Johnson (1908-1973) American politician, educator, US President (1963-69)

Speech (1963-12-17), Pageant of Peace Ceremonies, Washington, D.C.
    (Source)

Johnson used this phrase many times in the early '60s to refer to how, as the world "shrank" through advances in travel (including for weapons), it had not resolved the ongoing problems within humanity, only brought them closer. Other examples:

We live in a world which has narrowed into a neighborhood before it broadened into a brotherhood.
[Reported (1961-08-01)]

The world has narrowed to a neighborhood before it has broadened to brotherhood.
[Speech, New York City (1963-12-17)]

See also King (1954).