I am not a linguist, nor do I play one on TV. (There's a pitch for the networks: Chicago Five-Oh: A buttoned-down linguistics professor solves crimes during office hours with her red pen and a penchant for descriptive phonetics! Dun dun dun!)What with Language Log becoming a major media outlet, Stephen Pinker publishing on genealogy in the New Republic (I kid you not, see here), and so on, I say: Why not.
The description sounds like more of a CSI kind of hook, instead of Hawaii Five-0, given the lab angle and the reference to phonetics. But I kind of like the tough guy angle — think ¿Quien es mas macho? on Saturday Night Live — here. If you're into Proto-World, I'd go with an X-files knock off. And we all too often seem like we're the cast of Lost, but .... . Of course, Matt Groening has already given us a brilliant linguistics series, even if it doesn't star a linguist.
Sadly, I don't know enough about what's on television to even imagine good parodies.