On this particular itinerary your chances look grim. You could always call and petition for the bonus miles to apply to the NW-operated flights, but you probably won't get satisfaction.
In the future, don't book across alliances if you want to get in on promotions. The reasons that promotions have strict rules is that they're supposed to encourage flying on one particular airline (or an alliance in the case of the recent SkyTeam continents promo). If you mix-and-match, for whatever reason, your promotion eligibility will be in question.