there is the problem that the majority of Americans really didn't want to go to war in Europe, even though most of them thought little of Hitler and his goons. It took Pearl Harbor and Hitler declaring war on us to drag us into it. There's nothing in this POD that seems like it would butterfly away Japan's coming war with the USA (the same problems exist), but the onus of declaring war is still on Hitler...
Sorry, but that was true until 1939-early 1940.
While we don't really know a lot about what people thought in dictatorships like Germany, Italy, Japan and the USSR, we do have a wealth of Gallup and other polls concerning what people thought in the USA. Many can be looked up online. Do so. You will see that people were changing their minds. The fall of France was a rude wake-up. Then, for a few months, the idea was to stay out of the war but to supply, in a clearly non-neutral way, those who were fighting it, and to risk actual war in order to do so. Meanwhile, the other factor apart from the public opinion was the decision maker, i.e. FDR; he had already decided for that sort of commitment in resources, and was pushing for an active participation in the war.
In OTL, had Hitler not declared war on the USA, the reverse would have happened, within maybe 6 months.
In this scenario, the fall of Britain is an alarm ten times stronger than the fall of France. As to the casus belli, abundant reasons will remain, because the USA will keep supporting the BCE which will be fighting the German-Italian troops at the edges of the theater, and sending supplies to the Soviet Union (i.e the U-Boote will continue sinking US merchant ships and USN warships just as in OTL before the declaration of war).
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Edited to provide a few data pointers.
As of June 1940, when France had not fallen yet, the majority of polled US citizens thought that the USA should stay out of the war, rather than help "England" at the risk of being dragged in the war.
The turning point was in September 1940, at the time of the Battle of Britain; more than 50% of the US citizens then thought that helping "England" was worth the risk of being sucked into the war. That opinion hovered above 60% for most of 1941, and reached 70% in October 1941.
A part of those in favor of helping "England" even at the risk of war, actually just wanted outright war already against Germany and Italy. That part was 12% of the polled people in January 1940, and was 24% in June 1941.
In April 1941, the interesting question was asked whether the respondent thought that the USA would enter the European war before it would be over. 82% of the polled US citizens thought so.
Particularly relevant to the thread, i.e. to the issue of the fall of Britain. In May 1941, the question was asked: "Would you rather see Britain surrender to Germany than have the United States go into the war?" The answer was:
No 62%
Yes 26%
No opinion 12%
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