The "end of the world" place you are talking about. The "moki dugway" (google it).
Only gravel for 3 miles, but you don't have to take this route from Arches to Mexican Hat. Can go by Monticello/Blanding/Bluff. On the other hand, Natural Bridges Park (1 hr NW of Mexican hat) is really nice too, especially this time of year. Unlike Arches, very lightly visited. Intimate and peaceful place.
Photos from last months Javelina 100 with Az Outlaws. Monument valley by 356, and Mexican Hat (in parking lot of 1 of the 2 hotels)

Great part of the world. Long ways between gas stations.