What would I have the club do - a difficult one? I would put a sign at all the entrances to the areas where this chanting has been going on saying that if the chanting persists that part of the ground will be closed for the next home game. All existing ST holders may apply to be seated elsewhere in the ground.
The club have done the right thing. They just need to follow it up with some firm action if necessary. Search people entering the ground and hook a few out if the song is started.
I'm happy with the actions of the club so far. I hope they are searching fans as they enter the ground.