If we press that lever, we might not be able to undo it, and the consequences might be far worse than we (in our limited individual understandings and imaginations, which seem to become even more limited when elaborated through the rubric of public policy) can right now possibly imagine. Sure, it sounds like fear-mongering, and it might be...if they really are useless. But are we so sure? Is it worth it to take that risk?
Consider that air pollution kills ten times (10!) as many as mosquitos. Well, we should just eradicate all fossil fuels. Wipe them from the face of the Earth. But of course, we will not--why? because we see how integrated these disease producing fossil fuels are into our modern energy and supply chains. We see their utility in the 'gross anatomy' of our industrialized civilization clearly. But I think it is not widely appreciated the utility of the mosquito in the much more subtle, but more complex and numerous subtle anatomy of the networks of our ecological and bodily systems. Eradicating them is worse than (the incredibly horrid and stupid hypothetical idea of) say wiping out all gut bacteria in terms of damage, potentially. Anyone who seems eager to take that risk and has the gall to affect society like that with grand statements of "wipe them all out"-- I think is crazy and dangerous. The risk is too great.
Let's find ways to cure/combat the illnesses that don't involve taking out a key transport system in the global biome. It's like saying because crazy people can send letter bombs and con-persons can send fraud, we must execute all postal employees and dismantle all courier companies, if they've ever been misused. Because the internet can carry viruses to your computer, we must sever all submarine cables, and tear down all cell towers. It's sort of a sickness, an overgrowth of desire to use the clever technical genetic tools we can develop to watch as we humans hold the fate of a whole race of things in our hands. Let's use those clever genetic tricks to fight disease not bring the entire infrastructure down, in a fit of intoxication with our own self-importance, finger on the button of destruction, in a rapture of obsession with our very human world-conquering mania.