I'm a Stalin Apologist, but to be honest, I doubt much of this was intentionally anti-Jewish. Stalin simply just didn't agree with Internationalism as much as his comrades. If anything, the guy was just a Social Nationalist, which kind of makes sense considering he was ruling a multi-ethnic superstate. It's worth noting that much of the NKVD was still mostly Jewish under his rule, and most Soviet spies were Jewish (although it's also worth noting that many Jews and Trotskyists worked with the CIA against the Soviet Union). If Stalin did care about race at all, he probably took a more Spenglerian take on it as opposed to the NSDAPs Darwinist take, and if he did care about Jews as a problem, he probably agreed with Marx's take; that they should be assimilated into Socialist Society (Marx's 'On the Jewish Question' kind of kills the notion that he was conspiring on behalf of his race, although Judaism certainly had an influence on Marxism). They viewed Israel as an American Asset in the Middle East, and a Capitalist one at that. While Stalin's USSR was Socially Conservative, and 'National Bolshevik' in many senses of the term, I highly doubt he really cared about Jews and Race as a whole; rather that Jews in the party didn't like him because he appealed to Russian/Eurasian Nationalism and Pan-Slavism, and so they were the ones who were in his way and conspired against him accordingly.

My point is he may have worked against them, but he never named them, which is often the turning point in how they treat dissenters.