I remember those pictures in the McDonalds, now that you mention it, Chris. It's a good place to stop, get a burger, and check out the old picture. It's also about the only fast food restaurant between Tonopah and Fernley.
The abandoned grade you can see south from Hawthorne is from the Mina branch on the old SP. It was only narrow gauge until 1905, when it was standard gauged. The branch started at Mound House, although the SP built a line down from Hazen about 1915 that cut off the V&T traffic from Mound House, and led the abandonment of the V&T branch about 1920. The route from Hazen to Thorne, Mina, and Tonapah Junction was intact until 1947. The section from Tonopah Junction to Mina was abandoned in 1947, since the T&G from Goldfield to Tonopah Junction to Mina was also abandoned up in 1947. The line from Hazen to Mina managed to hang on until 1990, hauling a few trains a week with concentrates from mining in the Mina area and loads to and from the ammo depot. The mines around Mina closed up in the later 80's, with the decline in gold and silver prices, and the SP filed to abandon the branch back to Wabuska in 1991. The Army still saw the need for rails from Thorne to Wabuska in case operations at the depot cranked up again, so they bought the line from Thorne to Wabuska from the SP, and still operate occasional trains today, using UP motive power. The line from Thorne to Mina was torn up in 1992, and this is the grade that is seen so clearly from Highway 95. If you get a chance to walk the grade for any distance, you'll see how throughly the SP cleaned up the branch when they pulled it up. Not a rail, tie, or even a spike to be seen. As part of the agreement with BLM, they had to remove as much man-made material as possible, and breech all the culverts along the route. The grade itself is the only thing that remains. Since it was a well-built, heavily graded line, at least that remnant should last for many decades to come.