Preheat the oven to 275 degrees F. Line 2 baking sheets with parchment paper. (Or use a large foil roasting pan.)
Place the Chex and Golden Grahams in a large bowl.
Add the butter, molasses, brown sugar, cinnamon, ginger, cloves, and nutmeg to a microwave safe bowl. Microwave for 1 minute. Stir. If the butter has not melted, microwave another 15 seconds.
Pour the butter mixture over the cereal. Stir to make sure all of the cereal is coated.
Spread the cereal out on the prepared baking sheets, or leave in the foil pan.
Bake for 10 minutes, stirring halfway through cooking.
Remove from the oven and stir in the broken gingersnap cookies.
The last step is optional. Let the mixture cool. Place the white chocolate melts in a microwave safe bowl.
Melt the chocolate in 30 second intervals until the chocolate is melted.
Drizzle the white chocolate over the Chex mix. Add sprinkles. Let the chocolate set and then serve.