What is a "reasonable" policy to prevent prohibited people from buying ammunition?

The parallel to the idea of registration of ammunition sales is to ask how you would feel about similar restrictions being placed on the sale of gasoline. Many traffic accidents and fatalities are caused by unlicensed, unregistered, uninsured drivers ("prohibited persons"). The DMV has not been able to keep those people off the road. Since over 30,000 Americans die in traffic accidents each year, surely the "public safety" need there is much greater than the public safety need to restrict ammunition sales. That means: Only purchase from licensed dealers. ID and documents (DL, registration, insurance papers) shown to employee at time of purchase. Fingerprint at time of purchase. Limits on the amount of gasoline you can buy in a given period (2 gallons a day? 10 gallons a week?). Is this reasonable? If it is not reasonable to enact such rules to prevent prohibited persons from purchasing gasoline, then why would they be reasonable for ammunition?