I'm going to politely disagree with Jorg, in my lifetime, there has always been a 5 rd capacity limit. It must be somewhere else in the proclaimation. (The Utah Big game proc reads like war and peace, but I force myself through it every year.) Call the guys at Sportsman's on 72nd, they'll clarify for you.
I bought an M1A for hunting but never wound up using it. I just told someone else the story, if you want to look up my last post, but the long and short of it is, to make it work, I would have to get a higher-end stock, scope, trigger, and mount to make it so I could use it accurately without having the scope ding me over the eyebrow. I went back to a 700.
I've known a few old guys down home in the desert who hunted with Garands, they had special 5rd clips for them. My grandfather had a sporterized 1917 Enfield in '06, which my father still carries, and I got the M-1 carbine, which my father has actually killed three deer with over the years. (My grandfather paid I think $15 for it when he joined the NRA in the 50s.) (Every time he tells people that, they look at him like he is crazy for using it on deer.) I keep it loaded for HD for my wife, (for her to USE, not to defend AGAINST her, wisenheimers,) and sometimes I take it out to splatter jackrabbits.
General guidelines, as the game warden I grew up with in southern Utah explained them to me: A centerfire rifle or pistol, with a barrel at least 5" long, with a capacity of no more than 5 rounds in the magazine, capable of firing expanding bullets. No night-vision or light projection devices. Fully-automatic weapons are not allowed. (We BOTH agreed that this should be amended to include a caliber and/or muzzle energy requirement.)
I suppose, over time, if it really does become widely used and accepted, I might get an upper in 6.8 spc or whichever similar round they decide on and hunt deer with it. Or when I'm rich, I might get an AR-10 chambered for .243, something like that. But having been out of the military for a while now, I find myself grudgingly using the same non-tacticool rifles as everyone else.