Executions were of condemned criminals. The Western world, and many others, mobilized to stop Nazi Germany. Lynching was an illegal act. I'm not sure those really compare to industrial scale ritual sacrifice as a cornerstone of the society.
That was more of an effort to avoid Germany getting more powerful (and affecting them) than a humanitarian mission. Besides, half of the "western world" took side with the Nazis, including a full blown pro-Nazi government in occupied France (with tons of sympathizers pre- and during the occupation), Italy (of course), Austria, Bulgaria, Estonia, Norway, Ukraine, and so on.
>Lynching was an illegal act.
And yet few ever got into prison for it when it was practiced.
Unsurprising since the act was a public display of societal contempt for the legal system. Often the person to be lynched would be torn from a jail by the mob; demonstrating that the judicial system had no power when faced by the will of the mob.