I think the idea of this game is to shoot them with a shotgun, not suffocate them with a plastic bag. I don't care how much blood there is, trying to bag a turkey instead of shooting it-- well, it doesn't sound even remotely fun.
I have this vision of a guy in a ghillie suit in the tall grass, bag in hand, slowly inching his way to a gobbler. Dang! That would be one heck of a ride, once you got the bag on, wouldn't it? You'd have to be quick-- probably get 'em from behind in hopes he didn't see the bag coming and duck out. You'd need a pretty strong bag, what with the gobber trying to peck at you and all. I suspect you'd get pretty mussed up, too-- rollin' round the field with that gobbler trying to get his spurs into you.
Then again, I had a rough night and the coffee isn't quite made. I'll go sit back down now and try to stay quiet.