Seems like this is one of those carrot or the stick things. To me, I don't see a good way to make the carrot appealing enough, so I think it's time to break out the stick.........
I think we should expand the authority of game wardens. At this point the only statute in the MT Criminal code that game wardens can enforce is Criminal Trespass, IIRC. I would think if you gave the game wardens the ability to not only cite for the Game violations (shooting from roads, party hunting, illegal harvest, Harassing animals with a vehicle) and expand that to also include weapons violations in the MT criminal code or something like criminal negligence that would help. Also, you could include alcohol and drug related offenses that game wardens have no ability to control currently. I would be willing to bet that there were more than a few open containers in vehicles at this shootout...
Either that, or a joint prosecution between the game wardens and the county sheriff. I believe this situation needs more than just fish and game citations. To me there just isn't enough support for the Wardens that are out there.
Or, take one of these shootouts and make an example of it. If people start hearing about vehicles being seized for herding animals with a truck, that may help. I don't think that fines and loss of hunting privilege alone are going to stop these events. Throw the book at them and see what happens.