Fascism can be defined as militarist ultra-nationalism. Nazism is basically the same plus biological supremacy and antisemitism. It is therefore very difficult to separate the two in a OTL-historical Germany.
Non-Nazi fascism would mean
a) Nietsche's original ideology of "the strong survive" is adhered to. Nietsche never meant to say only white men were 'strong'; people of all races are included.
b) Someone Else (not the jews) is to blame. The French, maybe, or the communists. For a strictly christian (protestant) society, though, jews are a welcome target.
Possibilities:
1- the jews probably still get whacked because they're a likely target.
2- Arabs, negroes and Asians are more readily accepted as equals when they've proven their people's strenght (or usefulness) thereby actually strenghtening fascist Germany's position.
3- 'Strong nations' like England will probably be treated with (even) more respect (or envy) by the fascists than in OTL.