There is the problem that Alexander Hamilton wasn't in Congress when the 2nd Amendment, along with the rest of the Bill of Rights, was drafted and passed (he was Secretary of the Treasury at the time).
No proper study has been done on the likelihood of being killed with a gun based on gun ownership. Studies which have been done typically fail to take into account that many gun owners purchase their firearms because they know that they are likely to be attacked. For instance, people who hold restraining orders against others or live in dangerous areas are likely to seek weapons for personal protection.