I think the problem some people have with the squirrels is that a lot of the grey and black ones are invasive and squeeze out the indigenous squirrel species. I know that in Cornwall, England, they're systematically eradicating the grey squirrels and re-introducing the native red squirrels.

I know that our native squirrels are being driven to extirpation by these squirrels, too, as they are more aggressive but I'm not sure wiping them out would be the answer, either.