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.
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."