True, but we know with hindsight that most of the British army despised Churchill as is evident with the swaths of antisemitic graffiti recovered after, and witnessed during the war. We also know that the principles being fought for were woefully different on either side; One, was fighting to buck the banks and institutions as well as people that got them into the mess of the Wiemar Republic; Two, was fighting because such radical idealism was frightening if it were to work, and it did, so it had to be crushed. You could say that men on either side were only following orders, but I would argue that due to his oratory skills and pure soul, Uncle Addy won the hearts of his men and a majority of the country would have laid down its life to see him win for the volk. You couldn't say the same about America, or even the British. The sedition laws that took effect didnt allow for freedom of discussion entailing the effects of the war and the governments of both powers sought to hide truths from the public as it'd make them 'look like the bad guys.'
At the end of the war there were disagreements between the generals on how to go about the reconstruction of Europe; Eisenhower, who was the defacto leader in this movement, decided that the Germans should be punished punitively. Patton, the greatest and most well respected general by many accounts foresaw the lust for power in the eyes of the Soviets and immediately came to the conclusion we had fought the wrong enemy. That said, he got vocal, said some things he probably shouldn't have, and ended up dying in a car crash at ~15 miles an hour after being transferred out of the limelight. Not to mention the recorded cases of torture, starvation and rape that the US put German military prisoners and civilians through. The soviets were worse by a mile.
That said, there is no moral high-ground the US can claim from WWII. It was a case of fighting for your survival versus fighting to maintain a hegemony.