I’m not going to tell you that Socialism doesn’t work because it is a given. Everything else you said was true, however it ignores the fact that it only helped those who liked the cause, and even so only during the actual physical revolution. Once the “Dictatorship of the Proletariat” is established is when shit goes to hell.
They 1) nationalized Labor Unions (like Revolutionary Spain, USSR, China, Venezuela, etc.) and 2) they accepted grants and allowed foreign business to open (under the supervision of the National Socialist party) because they still owned the factories and labor units, they just needed the money. The rest of the stuff is because Hitler was a expansionist and he needed to have his people rally behind him in his cause, and he was able to gain the support of the reactionaries and conservatives by declaring the death of Marxism and fighting the USSR; pretty simple.