Joe Doto was around Luciano, Costello, Genovese and a few other members of the Morello family in the 1920's, but also members of the Mineo family. Adonis may have been made into the Gambino family, due to Anastasia being in that family and he had a close relationship with Anastasia, the Mineo brothers, as well as the Scalise brothers. By 1932 Adonis was with the Genovese crime family, that much is clear even though Joe and Lucky had been friends since their teen years.

Great question, Joe Adonis was a powerhouse in New York City, but mainly in New Jersey. When Genovese took over the family, most of Joe's allies and friends were gone, he still had contacts with other families. Most of his power had been disminished when he was deported. Had he not been deported, I feel he would have gone head to head with Vito, and the only two capo's from New Jersey that he could count on other then members of his own crew, were Anthony Boiardo and Salvatore Chiri. Vito was waiting his time, he was not a powerhouse in New Jersey till Guarino Moretti was killed in 51', Genovese became underboss in the family and was only rivaled in the New Jersey faction of the family by Adonis. Something that is often overlooked is that Vito only really worked with other Italians, where Adonis worked with not only other Italians but other ethnic groups which would give Joe an advantage if he needed the man power to fight Genovese, but Genovese had skilled hitters in the crews that were loyal to him, even though he sent Chin to kill Costello, who botched the hit, can not be over looked as well. Both Adonis and Genovese knew each other, as there have been at least four reported murders where both were the shooters, Joe The Boss being the most famous of theirs.