The LCN isn't a prison gang like La Eme. A lot of mob guys from all the families are incarcerated. But they're scattered in various prisons around the country. And often whites are a minority. Mob guys in prison aren't easy prey but they also don't run the joint, ala Goodfellas. Mob power is on the outside.
That whole Lucchese/Blood connection was overhyped. It's not like the Lucchese family and the Bloods sat down and worked out a formal partnership. It was one or two guys working with some Bloods to smuggle drugs and phones into prison.