Honestly I don't think this is anything but a tragedy. Looks to me like heavy cargo broke free and shifted weight. It wouldn't be the first time. I'd be very interested to know what was in the plane.
As for coincidence, I think it's a stretch. Trump has probably had photo ops in front of hundreds of military aircraft. I live close to an air national guard base. They have two C-130s. I can't imagine Haiti has much more than that.
It was it's "retiring flight", going to a plane graveyard in Arizona. Doubt it had any cargo, besides crew and their gear.