It's my humble opinion that the best way to control invasive species is to import their natural predators from their region of origin. I know it sounds ironic importing additional invasive animals to control another but really it's not, if your gonna have one you might as well have the other...
Jeff, you make some good points there, but ask Australia how it's doing with those cane toads and Hawai'i how it likes mongoose.
Those are just two examples of introducing a "natural predators from their region of origin" into an area with a population of invasives.
The case of the phorid flies for the ants might be a bit different as those flies might be obligate parasites and if and when the ants were eliminated the flies would die out with no hosts to continue their life cycle. Or, worst case scenario, they evolve/adapt to another host, perhaps a beneficial insect we'd likely miss.
My take, the snakes are likely here to stay. Along with the iguanas, cheat grass, kudzu, "wild" horses and burros, and........................
ALIENS!
Just jokin' about the last critter.
(or not!)
Geno