.. Are you talking about two consecutive Sadurdays as in, I don't know, two - four hour classes in order to complete this two week firearm training course idea of yours, or are you talking about 80 hours of instruction, I hope it's the latter for non carry / home defense applicants. Also, why not simply give those frequent firearms purchasers (or current firearms owners as you stated) a randomly selected question firearm safety quiz at the point of purchase (but not before the ten day cooling off period has registered). They do this in Calif and it seems to work pretty good. No pass no gun, just like the dmv test.... should you fail the test you have two weeks to study up before you can take the exam again. Sounds fair to me.
Guns in and of themselves aren't very complicated, it's just the basic rules of safety that must be adhered to, i.e never aim at anything you don't intend to destroy... know what's beyond your target... always keep your fingers outside the trigger guard until you're certain of the former... should you happen to come across an unattended gun, treat it as if it were loaded and ready to fire. etc. etc.
Final thought....
What about the gang bangers and their stolen/unregistered saturday night special 'gang banger' guns that aredestined to kill somebody, you know, those cheapo chrome Beretta 9mm Luger copies and those chrome Rossi .38 snubby revolvers, the guns that account for more than 90% 0f the street shootings, no 2 week classy for those guys I guess eh?