It is not just the State of Nevada, and the Western Shoshone Indian Nation (and other indigenous peoples, including the Goshutes and Southern Paiutes), but also 1,000+ environmental groups, which have successfully resisted the Yucca dump for 32 years and counting. Here is  partial list:

http://archives.nirs.us/radwaste/yucca/yuccaopponentslist.htm

Yucca dump proponents, like U.S. Reps. Fred Upton (R-MI), Mike Simpson (R-ID), and John Shimkus (R-IL), are essentially saying "Consent-based siting? Screw Nevada!"