Why would the Jets do that?

It would take a bit more to that package to get Connor, especially with both Murray & Anderson with 1 year left on their deals.
You would need to add a 1st and a good prospect, maybe Marchenko?
Oh, and also a signed multi-year extension in place for Anderson too.
That would get the value closer.
Jets would probably want to replace Murray in the deal with a more durable player. (they would want Werenski).
Jackets would probably counter with Savard or Nutivaara.

Yeah, that ain't it chief.
While yes, the Jets have three very good young wingers, the Jets would only deal one of them if someone of a similar quality was coming back. Preferably a centre or a RHD. So unless you're willing to part with Dubois (which I know CBJ is not), then I doubt there's a deal that works for both clubs.

Werenski is the only thing that the jets should want in return from CBJ if Connor is the ask

G-d, I wish. Connor is far too important to their offense for them to give him up easily.

Winnipeg isn’t making that trade.. sorry