The 5 families have beefs or disagreements all the time and the system exist so they can solve it, which they always do.

It would take a major situation for two families to go at war.

The last big situation that I could have escalated was the beef between Mikey Mancuso and Matty Madonna that ended up with the Bonnano sending a crew of guys to the Lucchese administration HQ but even that was solve pretty quickly.