Student or Learner
Besides turkey, there are other side dishes, including cranberry sauce, gravy, mashed potatoes and green beans. Desserts are a must in Western meals, and Thanksgiving is no exception. Pumpkin pies, apple pies and pecan pies are often seen on the Thanksgiving menu.
Is it better to reword the underlined part as "and they are no exception on Thanksgiving?"
No, the original phrasing of the underlined text better expresses the writer's thought. It is common usage in English to say "....and _______ is no exception" when we want to indicate that on ________ this tradition or activity is particularly important.
"Hot dogs are a popular convenience food at many venues in the US, and ballparks are no exception."
This means that not only do people eat hot dogs at baseball games, but that they are particularly popular (if not culturally ingrained) in that setting.