I think that Mosley was referring to the fairly immediate moves made by Hitler to out-law all opposition, and to bring all other nationalist parties under the wing of the NSDAP.
The schism that appeared within the NSDAP from the National-Bolshevick faction was dealt with decisively in the Night of the Long Knives (or Roehm Purge).
The only internal opposition that remained after that was among the blue-blooded Prussian officer class who were behind the failed Stauffenburg bomb plot; this allowed the SS to eliminate this faction. Of course, this latter faction actually 'won out' when Hitler earlier took action against the Roehmists, and no doubt Hitler would've liked to eliminate them too at an earlier date, but this would have been politically impossible.
I agree that the regime was all the more effective for taking such uncompromising action, and ideally the State should have been built entirely on the basis of a fanatical, Aryan/pagan SS cadre of complete Loyalists.

I make the basic distinction with facism;
1) Fascism as a Spiritual/Economic doctrine [e.g., Mussolini], and
2) 'fascism' as a Spiritual/Biological doctrine [e.g. Hitler].

In 1) , non-Aryan ethnies [like the Israelites] could be incorporated into an Eurasian Fascist Imperium. The question will then be on what rung of the Order of Rank will they stand?
This is congruent with Nietzsche's Good Europe.
In 2) , the Racial State is the objective, and non-Aryan elements are to be weeded out by a long-term process of Selection. However, it should be noted that even Alfred Rosenberg thought that a small minority of Jews should be allowed to stay in the Reich to give a constant and salutary reminder to Aryans of Jewish depravity. To act as a sort of innoculation.
This is congruent with Nietzsche's 'Discipline and Breeding'.

A synthesis of 1) and 2) [the Axis] is desirable, as they both have in common the Revaluation of Semitic Ideals.
All of this is a thread which runs through the concepts of the Christ-Souled Caesar and the Mediterraneanising of the North.