Background checks are simply a step to universal gun registration.
They obviously do no real good.
Instead of background checks, have a list of verified people which is accessable to the public, of those ineligible to own firearms. The list has to be able to be appealed by those who are on wrongly put on it.
The sale by anyone to someone who is ineligible, would be a crime.
The entire idea of allowing the government to give permission before a person may buy a gun is an affront to the Second Amendment.
Allowing everyone to check if people are ineligible, might help.
But the idea that you can keep guns away from people who have never committed a crime, is a no go zone in a free republic.
there would be 330 million people on your proposed list.
What they really want is Private Backround checks. Call their bluff, see if they will vote for Manchin-Toomey, which tightenes online checks, but leaves private checks alone.