Empty the sauerkraut into a strainer and press out all of the liquid.
Spread the softened butter on one side of each slice of bread.
Lay two slices of the bread, buttered side down, on a cold frying pan or griddle.
Mound one half of the corned beef on each slice of bread.
Top the corned beef with the sauerkraut (as much as you like - we like lots!)
Top each sandwich with four slices of the Swiss cheese.
Place the remaining slices of bread, butter side up, on the sandwiches.
Turn on the burner and grill the sandwiches over medium heat, flipping carefully once, until they are golden brown on both sides and the cheese is melted.
Serve with the Homemade Thousand Island dressing on the side for dipping.