Former Hawaii Gov. Linda Lingle is resigning from her job as the chief operating officer of the state of Illinois, according to a statement from Gov. Tom Rauner. The Chicago Sun-Times reports Rauner announced Lingle’s resignation on Friday, the day after the Republican governor signed a six-month stopgap state budget that didn’t include his “Turnaround Agenda” reforms. When Lingle took the Illinois job in January 2015, Rauner called her a “superstar governor” who would help him with…