Vincent Alo took over Doto crew when Joe was deported in 1955, Carmine Battaglia, Anthony Caefano, Michael Coppola, Cosmo Frasca took over Tommy Licata crew when he died in 1952, and Thomas Greco.

Before Vito Genovese took over the family, he called a small group of six powerful capos to a meeting. One of the capos did not show up and was most likely Michael Coppola, he was dragged to the meeting by Strollo and and another Capo. When the attempt on Frank's life was made, Vito tried to smooth things with both his family and other New York families.
The capos opposed Vito Genovese taking over the family and still wanted Costello as their boss but Frank Costello told them to stop and obey the commission ruling for Vito to be the boss. Anthony Carfano did not like that and had a few meetings with Albert Anastasia down in Florida. Carfano was a powerful capo who moved to Florida in 1935 to avoid the scrutiny of LE and was back and forth between Florida and New York. Vito Genovese caught wind of the meetings and planned on hitting Anastasia first. After that Anthony Carfano stopped trying to find a way to remove Vito, but Genovese never trusted after that. In 1959, Strollo, Miranda, and Catena summoned him twice during the summer and he refused to come in. He was killed in September of 1959, when he was trying to escape the city due to him being tipped off that Genovese sent word to kill Carfano. Carfano was a huge earner for the family in Gambling, casinos, and unions, lots of unions. Vincent Alo went along with Vito being boss as he was allowed to earn and became close to Phil Lombardo and Michael Coppola backed him up. Carmine Battaglia protested Genovese take over but was demoted, not by being against Genovese, but feuding with Mike Miranda and Gerardo Catena, mostly Catena, and was demoted for a sort time until the early 1960s at least. Michael Coppola was always butting heads with Vito, but when Vito went to prison, and unlike Anthony Carfano he showed up when summoned by the administration and was butting heads with Catena, and Strollo, it was Strollo who ran Coppola out of New York and to Connecticut in 1961, then living in Boston in 1962 and on.
Cosmo Frasca is thought have broken away from Miranda crew in the late 1950s, but he took over Licata crew in 1952 and supported by Frank Costello to take over that crew and remain loyal to Frank ever since. Due to legal problems in the 1960s he stepped down, but came back to being a temporary Capo in the mid 1970s before he retired. Thomas Greco also opposed Vito, but as he had taken over Luciano old crew and was well liked by many in the family, never lost his cool and followed all rules and showed respect to many members, nothing happened to him. Greco retired in 1972 or 1973 said do to Eboli getting killed, and frustration with Frank Funzi and Tony Salerno, he lived till the 1980s.