History would instead counsel the British people that Europe has nearly destroyed them twice in the twentieth century, while America sought to save them — and would again in the twentieth-first.
To any student of history, this is a rather sweeping statement, and, considering Kissingers dictum ("America has no "friends", only interests"), the assertion of eternal friendship is not necessarily a sure thing either.

Britain's entry into both WWI and WWII was made as a conscious choice in support of European Allies. No one could argue that Britain's existence was threatened whatever the outcome of WWI and Britain handily disposed of Hitlers invasion plans during the Battle of Britain.

It is much simpler to explain America's intervention in both wars (Absent of course Hitlers declaration of war on America) as a confluence of British and American economic and political interests.

Would America like to retain an "unsinkable aircraft carrier" and a listening post just offshore of Europe? Time will tell.