Despite all of Gotti's flaws, which were numerous, Despite the fact that Gigante hated him, He had two undeniable qualities the Outfit guys respected (even though they had to side with the Genovese's in the background):
1) He had balls bigger than the Empire State Building (reminded them of Giancana) 2) He was a real man who never betrayed himself.
I wouldnt say he had balls the size of the empire state building. he did fear certain guys. its pretty common knowledge that he feared Roy demeo. In fact Paul tried to give gotti the contract to kill demeo and gotti weaseled out of it. Also like others have said theer was nobody for gotti to flip on. he was the main target
