Yes, this is a concern.
The deaths, the incredible damage, and the numbers of deaths and maulings are climbing and so is the rate of the climb.
What solution or set of actions do you propose?
Conceal carry.
Many of these people with these dogs get them because they fear being attacked by thugs.
A friend of mine got a pit-bull for that reason.
About a year ago, a young woman in PA, near me, was killed by her own dog, It was a mix. Pitt Bull and Boxer. On a hot day it stewed on the deck. She came out to play with it, and it launched into attack mode, with a vice grip on her neck. 5 minutes later an off duty cop put a bullet in the animal, but it was too late.
I did a search of dog bites in my county last year. We have people collecting 500,000 from a single incident. We had a 5 year old kid in my town who is getting a ear replaced after a dog ripped it off. Surgeons in Philly were constructing his ear, multiple operations.
So you are right, this stuff is costly. My friend with his Pitt Bull is angry that his home owners insurance is charging him extra premium for the dog. Too bad.
The solution is not a law or ban. You will make criminals out of law abiding pet owners.