The Cheesecake Factory is a chain restaurant, so Kansas City is not the only place you can check this out, but the location is wonderful. It sits on the entry corner of the Plaza with a great outdoor fountain and seating area as you wait for a table (and there is almost always a wait so plan accordingly). The food portions are huge. I recommend that whatever you order, you share with a friend because you definitely have to save room for dessert. They are famous for their various desserts, and these are not just cheesecakes. However, if you can only choose one, the turtle cheesecake is my absolute to die for favorite.
I honestly believe the thing to do is go in with a large group of friends, skip dinner, and order a variety of desserts and keep passing them clockwise around the table. If you are still hungry, which I doubt, then actually ask for the menu and order some dinner items or at least something from the appetizer menu, which is also wonderful, to top off your dessert!