Definitely not minority. There were hawks "attack now" and doves claiming "we are not ready we get ready and attack". Moreover, large parts of Germans population did not accepted defeat of WWI, thought the peace was betrayal and wanted a redo.
In 1914, the "spirit for the war" was high.
> Most people were not so keen to die
It just so happen that young men and former soldiers were the keenest on WWII. Of course they were not keen to die, but they were massively keen on proving they are manly men who will kill their enemies. They wanted to prove they are as good as their heroes from WWI.
Weren't they subject to crushing economic conditions as a result of the diplomatic terms on which WWI ended? The context is important (as usual).
Btw, that is literally why WWII ended up without peace deal, with complete military takeover of Germany. The alliance wanted to avoid another "we were about to win" myth followed by third round of the whole thing. They wanted clear military victory, so that no one can possibly think they would win it if it continued.
Second, the conditions were softer then what Germany planned against their enemies in case they win. The bigger economic disaster in Germany pushing toward far right was great depression. You can discuss how much economic consequences of the loss contributed to the culture, but the fact is, Germany was pretty violent country and celebrated war itself.
I remember reading about the post-war reconstruction of Germany, where a handful of anti-nazi German politicians (in particular Ludwig Erhard) tried to rationalize how the German people, that gave the world Beethoven and Bach, fell to the evils of Nazism. The oversimplified answer could just be it depended on who was in control. There are evil people everywhere.