Mount Wheeler Is in Nevada, Not New Mexico

Mount Wheeler is the third-highest peak in Nevada (13,065 ft / 3,982 m), located in the Snake Range within Great Basin National Park.

It is not in New Mexico. The confusion may stem from other peaks named Wheeler (e.g., Wheeler Peak in New Mexico, which is a different mountain).

If you're planning a trip to the "real" Mount Wheeler, head to eastern Nevada near the Utah border.