Why does the Lady think the US would WANT Europe as the 51st state? Not a chance unless it is the only way to keep it out of the Caliphate.
Nor does it appear in doubt as to which side the English people would chose if asked. One side tried repeatedly to conquer it and the other assisted Great Britain in the repulsion of that would-be conquest.
It took me a moment to figure out which wars you were talking about. I thought you were referring to the Revolution and the War of 1812 and the Civil War where England was our enemy and France our ally.