Battle of Britain wasn't a turning point. It was a stopping point for German advancement in Western Europe. The Germans still advanced in the Med and in Eastern Europe, while the Japanese still swarmed over the Pacific.
It's beyond asinine to think that any ONE country defeated the Axis in WWII. Without England holding out against Germany, we (Americans) wouldn't have had anywhere to base from to even push on the Western Front. The English held in the Med, disrupting the support coming through Italy until the US could push through North Africa, and then invade Sicily, and then Italy (again, joint operations with the English.) D-Day and the push through the Western Front to Germany was carried out by several nations, not just the USA. The USSR pushed through the Eastern Front (aided by good ol' Mother Nature and her Russian winters.) The RAF and the Australians were active in the China-Burma-India theater (along with the AVG's.)
Make no mistake about it, WWII would not have been won without the USA as Allieds, but the USA did not, and could not have won WWII on their own. Everyone involved played their parts.