The soldier's parents, Bob and Jani Bergdahl, live in Hailey.
Facer did not detail the nature of the threats.
Bergdahl's hometown abruptly canceled plans Wednesday for a welcome-home celebration, citing security concerns.
The town of 8,000 has been swamped with hate mail and angry calls. Bergdahl's release after five years of captivity in Afghanistan has touched off a debate over whether the 28-year-old should be given a hero's welcome or punished as a deserter.