Well, to be fair, there are also plenty of times where, in addition to the disjointed faces hating each other, the aligned heels also hated each other. Remember the Main Event Mafia, where they were all supposedly united but then you had them battling for control at different times? Or even as recently as Fortune. Before the angle started to turn Morgan and Williams, they were heels within Fortune who didn't get along with their teammates. And even before that, during the beginnings of the group, you had AJ and Kaz on the same side, same team, fighting each other.
I guess if nobody has any allegiances, it makes them easier to turn at the drop of a dime. It's just TNA.