And that's commendable, but if you had rats, you'd shoot 'em, trap 'em, poison them, whatever it took to get rid of them before they do damage. As Fishhunter said; carp are exotic invasives. They damage the ecosystem and are detrimental (bad for) the other native fish and mollusks. Biologist Duane Chapman says it is better to have a carp in the garbage than in the water.
Don't look at removing carp as a waste look at it as doing the envronment a favor.