Remember that pork needs to be cooked more than beef. If you mix the raw bacon with the beef, you'll have to cook the burgers well. If you like your burgers medium to rare, you'll have to cook the bacon first.
But if you like your burgers well done, go for it. I don't know what you can grind it in, but I've bought pancetta cubes at Trader Joes that would probably work great.