The petition specifically addresses that. It says,
Previous attempts to mitigate the satanic programming of WSOU took place in 1988 and 2001, but were completely ineffective and short-lived, which is why it is so important to call for an immediate end to the radio station altogether. (emphasis mine)
In November (after the petition was launched and the video was made), the station acknowledged that its Advisory Committee's review of content was overdue. The Committee - including the priest community - is already modifying the content and reviewing procedures and to ensure the station is aligned with the school mission.
But that's not enough for the Institute, since they are protesting on campus today to call for the station to be shut down.