Aside from disassociating himself from some of his underlings, Paul knew there was a divide in the family (between Neil's guys and the white collar guys) and did nothing about it. According to Gravano's book he even acknowledged it and accepted it. There was no way for him to know that it could lead to his death, but as a boss you have to make sure everyone is on the same page and is loyal to you. Paul seemed to encourage instability.