Hello Kim,
I know you must be really excited to enjoy your magical Walt Disney World vacation. You are sure to make wonderful memories to last a lifetime. I am glad you came to the Disney Parks Moms Panel with your dining question.
Liberty Tree Tavern is a unique dining location. From the historical surroundings to the hearty, traditional Colonial menu, it is certainly a restaurant my family has always enjoyed eating at. There are small tables for parties of two. Our family has never been seated with another party. I do not ever recollect there being communal tables, as there are at The Biergarten in the Germany pavilion in Epcot.
In regards to the menu, the dinner is served family style. This means that they will bring the different items, entrees and side items in large bowls and platters for you to share among the table. If you would like more of a particular item, your server can bring that to you. Like a buffet, it is a set price, but you do not need to go up to a buffet to help yourself, but you do not order a la carte, either. I hope this clarifies the terminology for you. My favorite has always been the sliced prime rib and mac and cheese. I do not think you will be disappointed!
Have a fantastic time.
~Allison L