Melt the butter in a saucepan over medium-low heat and stir in the red pepper flakes. Let the butter infuse for about 5 minutes, then remove from heat.
Brush one side of each bread slice with the infused butter.
Heat a skillet over medium heat and place one slice of bread buttered-side down.
Layer the goat cheese and white cheddar evenly on the bread, then drizzle with 1 tablespoon of honey.
Top with another slice of bread, buttered-side up, and cook until golden brown and the cheese melts, about 5–7 minutes.
Remove from the skillet, drizzle with the remaining honey, and sprinkle extra red pepper flakes if desired.
Serve immediately and enjoy this Goat Cheese Grilled Cheese with Honey and Red Pepper Flakes while hot.