yes, the door is open. i'm not a complete moron.
I never experienced this with my old truck, a tacoma, nor my wife's car.
Understandably, backing up through the exhaust can produce some smell in the car, but it's as if i have the windows down and a fan aimed into the cab. I usually end up rolling down the windows for a bit after getting going. It's really bad.
I have to say, after 20 years of not driving american vehicles, I've quickly been reminded as to why I stopped in the first place.