As far as I can read it, no such attempt has been made. New York is saying certain things are illegal in New York. It seems New York is not attempting to have any say over what Kalshi does outside of New York, when it does not involve New York residents.
Yes, it's mighty inconvenient to have an office in a state that thinks your business activity is illegal. Maybe don't do that.
As I said earlier, the complaint says "within or from New York OR to persons in New York" (emphasis mine).
This is inconsistent with your statement "It seems New York is not attempting to have any say over what Kalshi does outside of New York, when it does not involve New York residents."
That sounds like a voluntary action they can decide to do, not something the state of New York is telling them to do. As far as I can tell, all they're being asked is to not break New York laws within New York. It's unfortunate if that was the whole extent of their business.
If a state decided to make trampolines illegal (sale, use and manufacture), it would suck to own a trampoline factory in that state. That's still not a nationwide ban.
"The claim they are trying to prevent them from offering all event contracts nationwide is simply false."