I'm going to quote you Cad because I think you're saying what I want to better than me.I'm not criticizing the fact that you dislike dragonborn. I'm criticizing the idea that disliking a player character race is a carte blanche reason to ban it, sans any other motivation for doing so.
When players and DM's come into conflict over setting elements, the DM should think long and hard about denying the players input. They really need to ask themselves 'does my banning X this make the game better?'. 'Does the inclusion of X really make the game difficult/unpalatable to run?'
DM's should try, as much as possible, to avoid enshrining their arbitrary likes and dislikes into setting law.