The suit was filed Tuesday against the Colorado Springs-based organization.
A former employee alleges the YMCA of the Pikes Peak Region told her to "pray on it" after she reported her assault.
The Air Force Academy reported 21 assaults, and saw sexual harassment on the rise against male students.
Restorative justice has rarely been used for sexual assault in Colorado, but victim's advocates have seen success in other areas, even murder and manslaughter cases.
Even though the Boulder woman's allegations didn't prevent Brett Kavanaugh from joining the Supreme Court, her attorney John Clune said she is glad she came forward.
Men in the Movement at Colorado State University work to end gender-based violence by teaching men about consent and vulnerability.
The crowd chanted slogans like "Hell, no, Kavanaugh" and "No rejection, no reelection."
NPR White House Correspondent Scott Horsley grew up in Denver and graduated from Manual High School.
Brian Vasquez, who taught social studies at Prairie Middle School in Aurora, acknowledged having inappropriate sexual contact with several students.
Colorado resident Deborah Ramirez alleges Brett Kavanaugh sexually assaulted her while the two were in college together at Yale.