Why don't we do that? Gun grabbers always come up with the canard that if everyone was armed they'd just shoot each other. Why not take some 'pork money' and give vouchers to people who own guns so they can pay for training? Encourage people to own, maintain and learn to handle their firearms. The 2nd amendment agrees with me.
Okay, let's go there. We will use the two different approaches in CCW Training.
Option 1 The One I like the best is a 3 or 4 day course where you get 100 live rounds on a range. You have to bring your own personal fire arm. Many fail this course. So what do they do they go to option 2
Option 2 4 hours of classroom only where you are given dummy rounds to load and reload. If you don't own a gun, they'll provide you with one. So you spend a single morning and anyone that spends that morning gets a certificate to turn into the Sheriffs office who will issue the CCW Permit.
As important as the CCW is, which method do you want to see? Chances are, both methods will be made available and you are going to have one group that really is safe and responsible while you have the other group that is dangerous to everyone around them including themselves.