Regarding the earlier point made by several that a large number of guns are purchased in private transactions, I would say the following:
1) The legality of such transactions varies by state. I would not change that. However ....
2) I would suggest that such transactions be recorded. No, not video. What I mean is that a person who would ordinarily have to file for a background check at a gun store would have to provide the same information to a private seller. And the private seller would have the responsibility to ensure that it is correct. This means ....
For the sake of argument by what means would the private seller go about the same degree of a background check as an FFL dealer? On a lesser level I suppose it could be required that a seller obtain a bill of sale with the weapon's serial number along with showing proper ID.
3) We can still trace the gun in the event it is stolen and one day used in a crime. And therefore we can still impose financial responsibility, preferably by insurance.
Again, this is not to say you cannot own a handgun. And it is not to say that your state's laws on allowing the purchase of such a gun from a private person is the least bit tinkered with. All this does is place on the shoulders of the lawful owner the responsibility to pay for the cost of injuries if the gun is stolen and used in a crime.
Tell you what LG, when lawyers become financially responsible for the actions of criminals they "put back out on the streets" (and that is a deliberate action by the way, that the lawyers are being compensated for no less) then you can come talk to me about how someone can be the victim of a crime and still be held accountable for what occurs with what was stolen.
As I have said before, it is not strict liability. Each state would decide what constitutes negligence in storage of a gun. That could be done by common law principles as in any tort action. It could be done by statute.
For example, it could be that by common law a firearm stolen from a car is sound evidence of negligence in storage. But you could have a statute that provides a defense to that, i.e. that if the gun is locked in a glove compartment then that is evidence of proper storage.
No. There may be something to be said for leaving guns in plain sight in the back of your pickup truck (an incomprehensibly stupid idea even without liability) but if force is required to gain access (breaking into a vehicle) that more than covers it in my eyes. (nevermind that all weapons, or even handguns, could fit in all glove box anyway)
Similarly, you could have a statute that says that storage of a gun in a gun safe at home is an absolute defense to a claim.
That would be up to each state to decide.