Does Bagheria also have its own cosca?
Yes, as far as I know. Antonino Mineo (killed in 1989) was a member of the cupola and was considered one of those who pulled the strings behind Michele Greco (the chairman of the cupola, but in fact a sort of puppet, or at least the informants say so). Then there was Leonardo Greco, also a very powerful one, now serving life sentences.
I also read there was a conflict between 2 bosses of Bagheria - Pietro Lo Iacono and Giuseppe Scaduto in 2009. Scaduto hired a hit squad headed by Michele Modica (the one that was shot in Toronto in 2004, a bystander was hit and paralyzed).