This New Yorker article, "How Bill Browder Became Russia's Most Wanted Man," discusses a number of people who worked on passing the Magnitsky Act, most of whom were Jewish, including:
Bill Browder himself
Edmond Safra, Browder's billionaire partner in Hermitage Capital
Senator Ben Cardin
Ambassador Dan Fried
David Kramer of Freedom House
Stephen Sestanovich of the Council on Foreign Relations
The Ziff brothers, millionaire friends of Browder
Sergei Magnitsky, Browder's tax lawyer and accountant who was killed in a Russian prison and was immortalized in the Magnitsky Act, was not Jewish; he was an ethnic Russian.
According to the New Yorker article, the men working to pass the Magnitsky Act wanted to find a substitute for the 1974 Jackson-Vanik Act, since that old law would become unenforceable when Russia joined the World Trade Organization and the US had to drop discriminatory trade legislation in 2012. Jackson-Vanik was designed to help Jews get our of the old Soviet Union. Although Senator Jackson was not Jewish, his staffers who worked to pass it became some of the leading Republican Jewish foreign policy officials in the United States: Richard Perle, Paul Wolfowitz, Elliot Abrams, and Doug Feith. According to the Bush White House, the Jackson-Vanik Amendment helped an estimated 600,000 Jews emigrate from Russia to the US, and another 1,000,000 to emigrate to Israel. Instead of applying to emigration by ordinary Jews, the Magnitsky Act applies to some of the oligarchs who surround Putin; it prevents them visiting or doing business in the US.
While lobbying for the bill, Browder presented a list of 280 Russians to be sanctioned. The US initially sanctioned 18, and later added 31 more. A significant number of Putin's oligarchs are Jewish, and some of them are included in the Magnitsky sanctions, such as Viktor Vekselberg, for example. It seems strange that Jackson-Vanik, which broke down Soviet restrictions on Jewish travel has been replaced by Magnitsky which imposes American restrictions on Jewish travel, but there are probably some Jewish issues I don't understand.
From Magnitsky's viewpoint, I think it is mainly about money. Browder's Russian hedge fund, Hermitage Capital, made him a billionaire. Putin kicked Browder off the Russian gravy train, and Browder wanted revenge on Putin. Somehow he played this move in a way that attracted the support of the US Congress, led by Senator Ben Cardin, despite resistance by the Obama administration. It may have gained support mainly from legislators who did not like Putin, and who thought the Act said, "Hey, Putin, take that! We hate your guts!"
In response, Putin banned Americans from adopting Russian children. This doesn't seem to have much to do with the Magnitsky issues, but it may have been something that came up for review about the same time and gave Putin a little something to retaliate with. This is the reason the Trump campaign initially said the famous Trump Tower meeting with the Russian lawyer Veselnitskaya was about adoption. It was, because that's the Russian half of the Magnitsky saga.
According to the New Yorker article, Veselnitskaya worked for the wealthy Russian Katsyv family. Browder got the government to bring charges against the Katsyv family, which he said had brought some of Hermitage's tax money into New York to buy property, Veselnitskaya hired Glenn Simpson of Fusion GPS, the same Fusion GPS that hired the former British spy Christopher Steele to spy on Trump in Russia. While it seems farfetched and doesn't seem to have come up in the Trump Tower meeting, the Russian Katsyv response to Browder's charges played up Browder's connection to the Ziff brothers (American Jewish millionaires who donated a lot to the Democrats), the implication being that Hillary's campaign may have "colluded" with the Russians through the Ziff connection.
In a deposition related to the Katsyv case, Browder said he did not regularly talk directly to Magnitsky or Magnitsky's lawyers. This indicates to me that Browder didn't really care that much about Sergei Magnitsky and his "human rights" but was more concerned about the financial implications for his business in Russia. Yet, somehow, as a native-born American citizen who had renounced his American citizenship, he persuaded the US Congress to pass a bill that gave him revenge against Putin in the name of "human rights."
I am guessing from his name that Joshua Yaffa, who wrote this article is also Jewish. Although there was a lot of rehashing of old news reports and Bill Browder's book, "Red Notice," it did shed some interesting new light on the issue. It did not change my opinion that Putin is probably justified in hating Bill Browder, who is a slimeball.