I, too, wouldn't use the food processor to grind meats. The texture of meat "ground" in a food processor isn't like meat ground in a "grinder."
I have an old-fashioned Universal clamp-on grinder I use for such purposes. I use it for all kinds of other grinding tasks, such as grinding pears for pear honey and walnuts for my Christmastime potica. I bought it at a yard sale many years ago for about $3. It's a wonderful tool.