Depends on the situation and what ''nazis'' are you referring to? Politics and Propaganda aside, they would. As any other army in the world during first half of 20th century, Nazi armies would kill all deserters and traitors.
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Specific to the Holocaust, no one was punished, let alone killed for not carrying out orders with regards to anti-Jewish state policy.
Having said that there was a degree of peer-pressure on the eastern front.
He got them to work for him by getting the Nazis to kill and the Nazis must like to kill.
the Nazis would kill them
To kill the Jews
Yes, they did.
Hitler didn't kill the Nazis. He was the leader of the Nazi political party.
The Jews
yes
holocaust
The Nazis created and used the most efficient means to kill their prisoners by incinerating them. The Nazis had other final solutions such as starvation, beatings, rapes, and shootings.
annihilate them (kill them)
any that were available.
yes