Aaron Hjermstad has been charged in two other cases.
It follows a report published this week by The Athletic.
Two women say Rev. Wes Feltner manipulated them while he was a youth pastor at another church.
The theater made the announcement on Friday.
More than a dozen police departments were involved in the operation.
The theater is under scrutiny over its treatment of a sex abuse survivor in court.
Theater leadership's gesture did little to ease outrage over recent court proceedings.
A Facebook post from the theater has resulted in a massive backlash.
He perpetrated much of the abuse at the theater in the 70s and 80s.
A jury has reached a verdict on abuse that happened at the theater in the 1980s.
Reports say Jeffs' brother has purchased a large property in rural Cook County.