The constitution says "shall not be infringed" period. Gun laws are not intended to help honest people buy guns, they are intended to make it more difficult for everyone to purchase firearms. If you don't include all the information they ask for, you reduce your chances of getting approved.
Arizona does not require a permit to carry a concealed weapon but has a provision to acquire a concealed weapons permit. With that permit, no background check is required. You just walk in, fill out the 4473, show the dealer your permit and walk out with the firearm. Avoids being subject to incompetent people who have the authority to spoil your day. Should you have to do this? NO Is it constitutional? NO Is it reality? YES How do we change it? DON'T KNOW