In addition to beveling the brake shoes, I added a thin washer to the pin that secures the brake shoes to the backing plate. This took up some play in this attachment point, which decreased the wobble in the brake shoes. In '50 there was no spring and pin in the middle of each brake shoe that secured the shoes to the backing plate. A test drive revealed the brake problem was still there. My next step is to wrap the exhaust pipe, check the adjustment of the MC rod again and see if there is any binding of the brake pedal.