We've done both - actually it was the Dixie Christmas show - and would recommend both. All things being equal - good food,good show,good time,etc - it mostly comes down to the horses. They are the show stoppers. DW LOVES horses so you can pretty much guess which shows we've seen...... Arabian Niights, Mid Evil Times and now Dixie's.
One other thing..... You can sometimes find some pretty good discounts to Dixie shows.
All else fails, flip a coin. You won't be disappointed by either.