Fascinating: EgyptAir's Baghdad To Washington Flight

My guess is it mail and other non-time sensitive cargo. Maybe money?

I assume MS is one of the few airlines willing to operate to BGW but also has security permissions to fly to the US... and has a spare plane/crew. So your reasoning is probably spot-on. It's odd, however, that it's every three weeks - seems like a strange frequency.

Fly America Act wouldn't come in to play for this scenario - which I suspect is why it routes like this instead of just going BGW-CAI and then using normal MS flights to IAD.

Maybe this is America's version of Conviasa’s Tehran route.

Same purpose, same objective?

Correct me if I'm wrong, but I believe Emirates, Qatar, Saudia, Turkish, and a few other major players all fly to Baghdad.

It’s a U.S. Government charter. U.S. carriers not approved to fly to Baghdad.

Interesting since a little known company, Biz Intel, recently took over the security contract at Baghdad International Airport from G4S recently. Not sure how long this will continue with Biz Intel in charge...

yes, but not nonstop from the U.S.

I was on an EgyptAir-operated trooping flight from the UK to the Gulf a few years ago. I'd imagine this is something similar. Our flight had an RAF flight number though. The flight was hilarious - EgyptAir had made the case to have several "technicians" on board as passengers; they all made casual conversation about troop numbers, missile ranges etc...

I would NOT fly for Egypt Air because of a past incident involving a suicide pilot. PERIOD.

I agree with OP that the frequency is odd. Would love to know who made the charter and how you could get on it. My guess is military, a lot of cargo, spies from multiple origins and maybe crew.
Will watch comments if any facts are posted. Interesting...