This seems correct, even though I think it's unfortunate that these prediction markets are ruining so many people's lives.
> In the lawsuit, filed on July 31, New York seeks a temporary restraining order prohibiting KalshiEX, LLC from offering all event contracts nationwide and more than $36 billion in damages.
This seems naturally the territory of the CFTC. They have exclusive right to regulate futures and derivatives contracts, which Congress handed them. Also, it seems straightforwardly anti-commerce-clause to allow NY to prohibit Kalshi from offering these contracts nationwide.
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Your quote is what the CFTC is claiming, not what NY is actually asking for.
Your mistake is trusting that a federal agency will tell the truth when the president or his family has a financial interest. Hint: they will not.