I have hunted Illinois in the past and I would do it again if I had a good place to go and of course the cash. The deer hunting is incredible and the folks in the rural areas that I have been to are as well.
Politics is not a factor in my hunting beyond the fact that I prefer to hunt with like-minded folks. I also fail to see how politics of the controlling factions of a state have anything to do with my deer hunting! If you allow that to rule you there won't many places left to go.
If I can't legally enter the state with a pistol, and am not allowed to have the means to defend myself, that definitely affects my hunting and enjoyment of being there no matter what I'm doing. The vast majority of states do not have draconian gun laws like Illinois, so that's where I go. I will not enter Illinois, California, New York, New Jersey, Massachusetts, or the rest of the handful of states that don't recognize the second amendment unless I absolutely have to. And then I will be leaving as soon as possible.