Suez without American opposition and the price of military autonomy

If the United States stayed out of the Suez Crisis, would Britain and America share the world-policing role equally today?

Probably not, though a different Suez outcome could preserve stronger and more independent British and French armed forces for longer.

Keeping the United States out of the Suez confrontation could leave Britain and France with more confidence in independent military action. This would not automatically produce an equal British-American division of global policing. Soviet choices and the later course of the Cold War would still determine where each power deployed and what it could sustain. Even after a more favourable crisis, governments might conclude that maintaining autonomy was expensive while reliance on allies was cheaper.