Beat peanut butter, butter, and sugars at medium speed with a heavy-duty electric stand mixer until creamy.
Add eggs and 1 1/2 tsp. vanilla, beating until blended.
Combine flour, baking soda, and salt in a small bowl; gradually add to butter mixture, beating just until blended. Beat in morsels and peanuts just until combined. (Dough will look a little moist.) Drop by tablespoonfuls onto parchment paper-lined baking sheets.
Bake at 350 for 10 to 14 minutes or until desired degree of doneness.
Remove to wire racks, and cool completely (about 15 minutes).