My mom and dad have raised all six of us kids and we only eat wild game (with the exception of some poultry and pork). I can't even look at beef without gagging.
Something that you should try is to make a bunch of burgers while your wife is out of the house(your daughter too) and then tell them that it is beef (first go to the store buy some hamburger and give it to the dog so you have the wrapper) they will likely say that those burgers were the best they had had in their lives.