Turkey is usually reserved for that other American holiday, Thanksgiving. The Fourth of July is normally associated with hot dogs, fried chicken and apple pies. I don't know if you are speaking only of tunes. If you were to play just about anything by Souza, you'd be doing about right. If it is songs, then I suppose "The Battle of New Orleans" might be suitable. The Rifles at Bennington although not well known by most Americans, would be an interesting addition. The Escape of Old John Webb has a catchy tune and would suit the theme also.

Hope this helps.