Have you considered going vegan? The dairy industry is almost as bad as the meat industry. Billions of baby male calves killed because they aren't considered useful.
Good on you for going vegetarian by the way. And you're absolutely right about congnitive dissonance. I feel exactly the same way. And I knew it too, before I went vegan.
In fact I think most of the ire against vegans and vegetarians is from people trying to protect against their own cognitive dissonance.