I thought most of the persico loyalist were in jail or dead. If they find new leadership they might throw the feds off the trail for a while anyway. Anyone that has the stink of persico and the 93 war and the fallout just seems to be cursed as the feds just seem to know too much about it and have garnered alot of informants from it.
I dont think they would go extinct. Someone who probably wasnt in the spotlight so much before will move his people in to the top of the family. It all depends upon whos got most allies, muscle and money.