Well, how about something like guns? Is that a reasonable comparison? Guns owned by responsible owners are as safe as can be, but every year guns kill dozens or hundreds of people (as opposed to maybe one dog mauling death). We know they are used by gangs and criminals. We know they cause death and destruction. Should responsible, law abiding gun owners be banned from possessing them because the lowest common denominator types drag their reputation down too?
What is the real difference between the two?
Considering much of the population supports a total gun ban for civilians, aren't you being counterproductive to your own arguement?