Does anyone find it ridiculous to try to target an market based solution to the problem through intentionally overfishing a species to extinction? Is that how we believe fishing markets work?

If you really want to eliminate the species, you don’t need people to find them palatable. You just need to pay per carp. Look at what was nefariously done to the bison, with the famous photos of the stacked bison skulls. We didn’t need to first build a marketing campaign to sell bison burgers, it was simply cash for kills. You could of course put the carp into dog food fish sticks or whatever, but it sounds like this is an emergency and not something that can wait for diets to adapt.