The Utah Praire Dog is "THE" keystone to the eco-system? Hardly. Maybe they're some of the rubble around the arch. In addition they make the area around their habitat dangerous for horses who can break a leg stepping in the dog's borrows.
I wonder if that town get the go ahead to eradicate, if they'll offer a bounty?
I will be upfront about not being familiar enough with the Utah prairie dog and the prairie ecosystem it lives in to make a proper assessment of the situation. That won't stop me from sharing my opinion.

A keystone species is a species that has a disproportional impact on its community compared to its relative abundance. The prairie dog seems to fit that description quite well, for better or worse in this case. Keystone species really are essential for a properly balanced/functioning ecosystem. They do things that other species don't/can't do but depend on for survival. In many cases, these species are predators (a starfish
Pisaster ochracceus in the Pacific NW is a classic example) but not always. Diggers (gophar tortoises) and cavity makers (red cockaded woodpeckers) often fit the bill; as do some plants.
We've done too "good" of a job eliminating keystone and other species all over the country. I think it's a bit arrogant of us to move into a wild area dominated by other animals only to get mad when they do what they do. Too often, our first and maybe only "solution" is to kill them all. Once they are gone, the ecosystem changes and gives us another problem to deal with that wasn't there before (Hypothetically in this case, the vegetation changes to something less productive and desirable, or coyotes start eating pets). With that said, I also realize the importance of people living physically and finacially sound. There has to be a better solution than either letting the prairie dogs run amock or killing them all. What that solution is, I cannot say without more research and understanding of the situation.
As to bounties, I'm generally not a fan, especially with concern to native species.
Please note, I'm speaking of people in general and not a particular person.