I believe our new service (already delayed once...let's see how long it lasts!) is MCI-LGA not JFK; so yes, MCI-LGA, taxi it to JFK for JFK-CDG-JFK, taxi it to LGA, LGA-MCI, I would think would qualify if you meet all the hoops and hurdles of the bonus.
Watch out because I think there are still STL-JFK flights left over from TWA so you could end up MCI-STL-JFK-CDG-JFK-STL-MCI and no bonus but 2 extra segments!