The right to bear arms

I know many innocent people die every year due to guns, but I still believe that most Americans should have the right to bear arms. I believe that if you use a gun for war, protection, and hunting it is fine but if you are going to use it to kill innocent people you should not have the privilege to own a gun. On the other hand I think any body who wants to own a gun should be able to since looking up somebodies mental conditions and crime record is an invasion of privacy. I know this isn't always the case but some people with a criminal background can change and then they should be able to bear arms again.