Doesn't matter what kind of background check they require. Criminals will always get guns and will always modify them.This is gettting ridiculous. There are too many dolts in society, this is like that idiot who went out to eat and ended up shooting his wife in the leg by accident with a concealed handgun. Purchasing a gun should be accompanied by an IQ/Pysch test.
The tragedy of man's inhumanity to man is as old as time and will always occur. There are things you can do to keep yourself and family as safe as possible, but never 100% safe.
And buying a gun that you are not proficient with is a bad idea and will not keep you safe. It may increase the likelihood of you being shot with your own weapon.
Stiffening the punishment for gun related crimes may be a bit of a detterent, but it will not stop the shooters who are mentally ill. They usually take their own lives anyway. And criminals do not think they are ever going to get caught.