Cream the butter and sugar together in a large bowl until light and fluffy. Beat in the peppermint and vanilla extract.
Slowly beat in the flour and salt until completely incorporated.
Divide the dough in half. Tint half with the red food coloring and the other half with the green. *Note - if the dough is too crumbly, add 1-2 tablespoons of cold water per color to the dough and blend.
Flatten each disc and wrap in plastic wrap. Place the dough in the refrigerator for 30 minutes.
Preheat oven to 350 degrees.
On a lightly floured surface, roll each chilled disc out to approximately ¼" thickness. Use a round, floured cookie cutter (1 ½" in diameter) to cut out as many circles as possible. *Note - the scraps can be re-rolled and cut in the same fashion.
Place the cut cookies onto a parchment lined baking sheet approximately 1" apart.
Bake in a preheated oven to 10-12 minutes, rotating the sheets halfway through the baking process.
Remove the cookies to a baking rack to cool completely.
In a microwaveable bowl, melt the chocolate morsels and the butter on medium temperature, stirring often.
Dip half of each cooled cookie into the melted chocolate; allowing the excess to run off and then sprinkle the crushed candies on top of the chocolate. Place the cookies on parchment paper or wax paper and allow to sit until the chocolate is set.