I dont have this problem - yet, but have been thinking about those of you that do and the symptoms involved. Some of you have this issue just days after purchase - I would be coming unglued !
Today, as i was sitting in the truck in the car wash with the ignition off, i noticed that my display would flash this "push to start" message everyone is talking about, about every ten seconds or so.
From a total black, everything is off appearance, to this message and a couple of dash lights, repeating every 10 seconds or so. It did it maybe ten times before, i assume, deciding i wasnt going to start it, and giving up. This would definitely kill a battery if it continued all night, as has been happening to you guys.
All i can guess, is that after turning off the ignition, it knows i have not gotten out of the truck, ie. opened and closed the drivers door.
I wonder if this scenario has any bearing on the underlying issue. Perhaps, even though the open door, get out, close door process has been completed, the truck brain has a fart !
Just spitballing here !