For anyone else stumbling upon this later like myself, there is a solution in place now (at least for JSL). See "Data Filter Context Box". If you nest a V/H List Box inside it, you can specify a local data filter that will apply to all charts within the list.
Edit:
Evidently this has been available since before JMP 14? Either way, applying a local data filter to the outer node of a group of variability charts appears to work as well.