[8X56MS]

I would pass on this idea. I have never thought much of folks that use a marginal cartridge when hunting. Sure, it might work ok under ideal conditions, but in so many instances, the shot you are presented with is NOT ideal. Still, many people take the shot, and miss, or worse, wound an animal.
An ethical hunter always uses enough gun for the game, and general circumstances he will encounter.
For hunting whitetails, a 9X19 pistol round is not enough cartridge.