Brian Maffly | The Salt Lake Tribune House on Fire ruin, located in South Mule Canyon on Cedar Mesa, is among up to 100,000 archaeological sites within the Bears Ears region. A proposed national monument, which under consideration by President Obama at the urging of tribal groups, was the subject of dueling press conferences Tuesday. Backers say polling shows 70 percent of Utahns support a monument designation, while opponents in the Utah Legislature enlisted San Juan County Navajos to denounce the proposal.