On the question of the "eradication" of the Jews, I think it is evident that this was not the s' initial intention.
I say this not in the spirit of 'revisionism' or ' sympathies', but solely based on a reading of the historical material.
It is obvious that the s desired the Jews to be excluded from The Reich, as the following manifesto makes clear;

"None but members of the nation may be citizens of the State.
None but those of German blood, whatever their creed, may be members of the nation.
No Jew, therefore, may be a member of the nation".
[25 Points of the NSDAP, 1932]

This is far from being an 'eradication' of the Jews, and it is clear from correspondence between leading Zionists and the s in the 30s, that they saw each other as mutually useful;
The Zionists wanted to create a Jewish (fascist) State in Palestine, the s wanted Jews out of the Reich. Clearly, the mutual intention was that 'European' Jews would go to 'Israel'.

The Second World War (or the 'War of Polish Independence' as Ludovici calls it!) put a different complexion on things for various reasons, not all of them down to the Germans own antipathy towards the Jews; the Allies demanded the 'unconditional surrender' of Germany (a demand unlikely to be accepted given Hitler's known to be uncompromising nature); the Allies bombed German supply lines cutting off medical and food aid in the last stages of the war (thus affecting the camps), just as the Russians were given a free hand to butcher non-combatants in the East in the same period.
Given this nightmare scenario, it is not surprising that people of all kinds caught up in the carnage were slaughtered.

Even this does not point to a German plan to 'eradicate' the Jews.

Have you read Martin Luther's 'The Jews and Their Lies'?
This tract by the great Reformer advocates the burning of the synagogues and homes of German Jews, as well as the deprivation of all 'rights' to Jews, including the right to use the highway. Jewish religious books are to be burned, and Rabbis forbidden to teach on pain of death.
You will find no such doent from the s!

Why is it that Luther, and the Protestant church is seldom reproached, and yet the s are accused of wanting to 'eradicate' the Jews?

The evidence suggests that Nietzsche's;
"Rome vs. Judea, Judea vs. Rome"
Is very much in the spirit of antisemitism.

Whereas the Hollywood falsification of sm, the Exterminationist, has much more in common with Lutherism.