Also... it's not Minced Meat Pie... it's Mincemeat Pie or Mince Pie.
That might be one of the problems you're having... in the South, "Minced Meat" is luncheon loaf... you make sandwiches out of it. It's like ham and pork bits mixed together.
Excellent point. "Minced" would be an adjective, and then you do have meat. OP has to realize that the name of what she seeks is an idiom, and therefore has to be rendered precisely.