This question weaves together a couple different sources.
The first nekudah comes from 32:32 where we have the phrase:
וְאִם-אַיִן--מְחֵנִי נָא, מִסִּפְרְךָ אֲשֶׁר כָּתָבְתָּ - If you will not [forgive them] then erase me from the book you have written.
And Hashem upholds this:
וַיֹּאמֶר יְהוָה, אֶל-מֹשֶׁה: מִי אֲשֶׁר חָטָא-לִי, אֶמְחֶנּוּ מִסִּפְרִי - And Hashem said to Moshe - The one who has sinned to/against me, I will erase from my book.
Famously, Chazal state that this is actualized in the previous parsha of Tetzaveh, the only parsha in the Torah (since the recording of his birth) that omits Moshe's name. But there is a problem:
Many hold that the events of Ki Tisa come before Terumah-Tetzaveh (most famously the Rambam), but what sin had Moshe committed at the point Tetzaveh occurred to lead to his omission there?
Later in 34:1:
וְכָתַבְתִּי֙ עַל־הַלֻּחֹ֔ת אֶת־הַדְּבָרִ֔ים אֲשֶׁ֥ר הָי֛וּ עַל־הַלֻּחֹ֥ת הָרִאשֹׁנִ֖ים אֲשֶׁ֥ר שִׁבַּֽרְתָּ - And I will write on the tablets the the things/words that were on the first tablets which you broke.
and the commentary in Yevamos 62a on this:
והסכימה דעתו לדעת המקום דכתיב (שמות לד, א) אשר שברת ואמר ריש לקיש אמר ליה הקב"ה למשה יישר כחך ששברת - And his knowledge agreed with the knowledge of the Omnipresent, as it says "which you broke" - Reish Lakeish says Hashem said to him [Moshe] Your strength was true that you broke them (i.e.: you did the correct thing).
But this is not the only action Moshe took in response to the Golden Calf - he also encouraged the wholesale extra-judicial killing of anyone associated with the Golden Calf, something that seems entirely outside the bounds of halacha. We do not see Hashem approve of this action.
Is there a source that discusses the possibility of Hashem subtly censuring Moshe for encouraging the tribe of Levi to kill without a proper hearing?
