Anyone who's not a criminal can buy a gun, thats the law. Background checks may prevent criminals from buying guns, but they often do not because criminals don't buy guns from legal gun dealers or other legal gun owners. They either steal them or they buy them from an illegal dealer.

The background check issue is a red herring according to the US-NIJ studies.

Well private gun sale laws vary from state to state. For instance, in Oregon private transfers of firearms are perfectly legal without background checks or going through FFL dealers. So anyone can side-step a background check in a state like Oregon by asking someone else to purchase the gun legally and then give them cash for it. Does that mean we should expect more gun violence in states like Oregon?

Background checks examine the person, not the gun!

You may not know this if you've never bought a gun at a gun store, but they call in your identifying information, they say nothing to the Federal government about the gun or guns to be bought except if they include handguns as I recall.

There are forms to be filled out that do include recording the serial number, but that came long before the national background check system (1968 vs. mid-90s).