Actually, yes and no.  One dog is a psycho...she frequently charges Jerry, the 'I don't give a shit' cat, but it's all a fake.  Willy, the ultimate party boy dog, couldn't give a shit either way.  Ben, the alpha cat, stays aloof...until Jerry starts a new 'project', which he then very enthusiastically participates in.  The dynamics are freaking amazing. 
  
The result for the humans is usually a mess all over the kitchen floor.