Answer: Lincoln Logs (as seen on the Soprano’s) are apparently hot dog buns or white bread, in which you place hot dogs layered with cream cheese. They can be served warm or cold. They are also known as Seattle Cream Cheese Dogs, although the Lincoln Logs variety is said to be an East Coast version. The basic recipe appears to be:
Take a slice of white bread, spread cream cheese on it, split a cooked hot dog lengthwise and place each half, cut side down, on the bread. To get the Lincoln Log effect, you may need a second hot dog that is laid over the first in the other direction. Some versions appear to mix a little mayonnaise with the cream cheese for spreading ease. You can lightly toast the bread or add a piece of American cheese before adding the spread and hot dog.
Or, you can try the standard Seattle recipe as found at All Recipes.