Reason they are hard to knock down is failing to shoot/stab/crush the front of the skull. Hitting them anywhere else is just going to slow them a little and p*ss them off. Full auto is a total waste (read the WWZ book, and forget the inaccurate movie). Precision shooting at any range is what is needed.
I grew up in a family with a father that was a well known rather amazing shooter. So good that after WWII Patton asked to have him (a Signal Corps sergeant) transfered to his command in the occupation forces from another general's army entirely just to have him to shoot with in the Black Forest. Once when stationed in Alaska with West Point football HOF great Doc Blanchard, on a bet he shot a Golden Eagle in flight at 300 yards standing in a small boat with a bolt action 30-06 and a 4x scope on the first shot. I watched him as a small kid outshoot the top shotgunners in our part of the country hitting as many as 350 straight clays with an old Winchester side-by-side double against whatever expensive shotgun they wanted to shoot. I watched him take a slingshot I could not seem to get the hang of, and nail a head shot on a squirrel at 40 paces with the first steel shot he took.
So after growing up in that family and being trained to shoot his collection of firearms at least every other month until I went in the Navy, yes I can make head sized moving shots at 200 yards. I am convinced that the only reason I am not as well known as Jerry Miculek is I took a complete hiatus from shooting (and hunting) for 45 years to be involved in motorsports and did not take up shooting again till I was over 60. And with eyesight issues, bad knees, and arthritis in both hands I am not the shooter I once was. But I have fun at it these days because I have no expectation of being a great shooter anymore although I try. But I can still do some things that those issues do not effect.
Due to personal choices I do not hunt predators (one reason is my late wife and I raised and bred hybrid timber and arctic wolves for about a decade). One reason the deer population on this continent is so outrageously large is because we spent so much time eliminating our competition we neglected to take account of the balance of nature. I would have no issue hunting coyotes because they are out of balance also. But wolves, mountain lions, lynx, wildcat, panther, wolverines, weasels, minks, raptors, bears, gators, crocs, etc., I feel we have done enough to ruin their habitats. I would protect myself and others from them but I will not go out of the way to actually hunt them. That's just me. You can do what you want.