An authoritarian military backed half-fascist regime.
I think I have said this quite a few times in other threads, so some of this will be old hat for some of you, but the Nazis were only one of three dozen fascist parties running around Germany and screeching they had all the answers if only someone would hang the Jews, Communists, bankers and take back what France "stole." At the meeting where Goering first met Hitler, 19 (or possible 23) fascist parties were scheduled to speak at a park, and Hitler balked at sharing a stage with the others and called everyone on the same bill as him "safe bourgeois" and denounced them, catching Goering's ear and eye. The Nazis were not unique, they just got "lucky" and had some factors going for them, over the others. Including the decision not to join the other smaller fascist parties into an anti-Socialist coalition, not born out of brilliance, but out of pure mule-stuborrness by Hitler to share. From the ashes of that coalition, more than a few came over to the Nazi party.
With Hitler dead, the Party would have likely shifted to the Strassers, and their more beefsteak National Socialism.
The Weimar Republic would have still been screwed. Democracy to most of us has positive connotations because we associate it with prosperity and triumph. In United States, we were born of democracy. In Germany, democracy came from a humiliating defeat and destruction of a 500 year royal House. Social Democrats were associated with the utter defilement of Germany, in the eyes of more than a few men on the street. Someone promising the good old days that were neither good nor that old would have appealed. The same anti-democratic shit which the Communists were peddling were then peddled by the Nazis and the same large mass of people in the end, largely, voted for both. For some fascist party, backed by barons and bayonets, to take down the republic would have been quite easy. Or they could have left it in place, but made it emasculated.
Hindenburg would have been replaced by von Papen, then he would have shit the bed, because he's not the guy - he's the guy who wants to be the guy, but is actually the person helping the guy. After that, some figure would have been dusted off and presented for the masses.
Relations with France would have hinged on whether the desire for the lost provinces would have overridden bowel-shaking fear of the Bolsheviks in the East. The Soviet Union is still there. And Stalin is still Stalin. So something has to give in Eastern Europe. Poland and the Baltics look good to the Red Tsar.
As for the Jews, hopefully the worst can be avoided, but some sort of discrimination would have been done and exclusion from public life. The Nazi rhetoric did not grow in a lab, it grew in the wild, aided and abetted by the popular moods. As early as 1919, as Goebbels is struggling to figure out if he wants to be a left-wing wing-nut or a right wing one, he is already philosophizing about the Jewish Question with remarkable conclusions that he not once feels the need to explain or elaborate upon. So, his musings on whether he can get over the revulsion he feels in one of his girlfriends being half-Jewish a sign of a trouble soul, or whether he must commit his will to overcome this weakness. Alfred Rosenberg might have dropped into Bavaria by way of Berlin and Estonia, but he found ample soil to support his views. But the 1920s, the "Jewish Question" was much discussed by the lunatic fascist fringe. Some sort of discrimination would have been likely.
