A winding, scenic drive along the edge of Cedar Mesa offers panoramic views. Valley of the Gods is below. Monument Valley is off in the distance. A drive to nearby Muley Point near the top overlooks the Goosenecks of the San Juan River. Built originally for trucks hauling uranium ore, it is a popular shortcut, though not for the faint-hearted!
If you go:
Highway 261 cuts across the beautiful Cedar Mesa. The road is unpaved but graded. The State of Utah recommends that only vehicles less than 28 feet in length and 10,000 pounds in weight attempt to negotiate this steep (10% grade), narrow and winding road. It's also spelled as Mokee Dugway.
Links:

UT State Route 261
Between Natural Bridge and Mexican Hat
Mexican Hat, Utah USA
Phone Numbers:
Utah state road conditions
+1 (866) 511-8824
+1 (866) 511-8824
Message from RoadTrip America