The group, named after Rangers’ longest serving manager, Bill Struth, staged a demonstration behind the directors’ box at Ibrox during the team’s recent meeting with Inverness.
Ashley has been targeted because Sandy Easdale recently revealed that the naming rights to Ibrox had been sold to the Newcastle United owner for £1.
The Sons of Struth issued a statement detailing the results of their poll, which did not specify how many fans’ opinions had been sampled, although it is thought that they have around 3000 members.
The statement read: "Due to recent events, such as Sandy Easdale's broken promises of having investors lined up and the selling of our stadium’s naming rights to Mike Ashley for £1.00, Sons of Struth have received an increased level of calls for tougher action against the board, Sports Direct and, Easdale-owned McGills Buses.
“Recent polling of our members resulted in 99.35% calling for the removal of Sandy Easdale as a Rangers director and 97.19% wishing Mike Ashley to cancel his 7 year contract for the naming rights to Ibrox."