Here's a thought how about following Suez political and public anger with the US, in particular with Eisenhower, resulted in the UK withdrawing from NATO and reinforcing ties with the Commonwealth. At the same time the UK defaulted on their debts to the US based on the US dishonouring a number of agreements, including sharing nuclear weapons technology while the US benefited from UK jet engine, radar and carrier technology. The relationship was seen as very one sided where Britain and the dominions had been left to fight the Axis powers on their own, suffering significant (almost catastrophic) damage while the US economy boomed. Right or wrong this created a lot of resentment, as well as a significant amount of distrust, within the UK and the Dominions, and was the key to stronger, mutually beneficial relationships between members of a stronger Commonwealth.
Possible consequences could include, apart from the obvious of buying more existing British gear, the completion of a number of cancelled projects, the refinement of other "bodged designs" and as the UK completes things like a new class of fleet carrier in the early 60s, the transfer of the Centaurs, Victorious, Eagle and / or Ark Royal to the dominions.