Cut bacon crosswise into small strips. Melt 1 tablespoon of the butter in a skillet. Add bacon and cook. Remove pan from heat.
Start cooking spaghetti.
In a bowl, beat eggs and 1/2 cup of cheese with a fork until well blended. Add salt and pepper.
Place spaghetti in a large bowl and add remaining butter. Toss until butter is melted. Mix in egg mixture. The goal is to cook the egg without making scrambled eggs. Stir in bacon mixture and cream and blend.
Serve with remaining cheese.