The exterior shots of the train and the interior shots are at odds with each other. Outside, the train is composed of modern (for the time) smooth sided stainless-steel cars, but when Herman puts his head through the roof, the car is an older model "heavyweight" car. When the family is sitting in the car that they have all to themselves, the interior resembles those of cars shortly before the turn of the century- certainly not one used on a modern Santa Fe passenger train.
Although essential to the plot, there is no reason that the train would have stopped at Indian Flats. No passengers embarked or disembarked, and the "station" was just an abandoned shack.
Totem pole sculpture is indigenous to tribes of the Pacific Northwest, not interior tribes of the desert southwest or Great Plains as shown.