Hmm, I wonder if my POD was a bit too "open-ended" here? I suppose adding in a "butterfly clause" that prevents a Hitler-like replacement from taking his place makes sense; otherwise, killing Adolf early is pretty pointless.
Even so, the larger political climate that propelled him to power is still there, and Germany would still be pissed about the Treaty of Versailles, as well as suffering from the Great Depression and bloody street battles between KPD and Freikorps militants. As such, extreme movements of some sort are on the rise, as are iron-fisted authoritarians within the German government who'd crack down (and use rather thuggish means to do so), if Gustav Noske's rough handling or Franz Von Papen's desire to establish a military dictatorship is any indication. Fortunately, the Nazis are still sidelined without someone like Hitler to make it mainstream, but revanchism and strongman rule of some sort remain in the cards, so just because World War II as we know it won't happen doesn't mean a different version of World War II also won't.
A non-Nazi German regime is highly unlikely to implement the Holocaust, or to launch Operation Barbarossa, or to have such giant war aims as Hitler's regime did, so this would be a huge plus all in itself. And I'm highly skeptical that Britain would actually be willing to fight for Poland if Germany's goals were limited and if Germany didn't betray the West's trust with Czechoslovakia beforehand.