We absolutely can do away with dogs. I am not willing to accept people being killed by dogs. Why are you?
Well why stop at dogs, in that case? Let's ban cars, trains and train tracks, rugby, boxing and horse riding, parachuting, skiing, I mean definitely skiing, it's just death or brain injury waiting to happen. And certainly all bicycles and motorbikes.
Fill in lakes and reservoirs, make it illegal to have a domestic swimming pool or paddling pool due to lack of life guard. Ban all knives and pass a law that says only licenced people like butchers and food production factories can have knives, and all food needs to be sold cut into bite sized chunks to negate the need for knives in households.
Ban grapes (choking hazard and not everyone can be trusted to cut them in half.) Ban stairs. Only bungalows from now on. Ladders. Ladders should definitely be banned. Cigarettes. Alcohol. Obviously all illegal recreational drugs. Also bees and wasps. Up to 10 people per year die of bee stings in the UK alone, which is marginally more than die from death by dog.