Maura,
I think you will find that the cuisine, while not traditional american fare, is not so 'out there' that you can't find something that you are OK with. I think that the barequed pork would be a good choice for you, and for kids there are a few good standard choices. Hot dogs, pizza, and cheese ravioli with meatballs are all pretty standard choices.
You can actually look at the
menu here.
And to answer your question, yes, it is definitely worth it! The food is great, not so exotic that you can't navigate a meal you are happy with, and the Princess factor is over-the-top fantastic!
Don't worry a bit about it! You will love it!
Have a magical (and delicious) vacation!