The guns used in CT were already licenced and registered. So is that your solution?
And to continue with your analogy, if a car is kept on private property, and only used on private property ( such as a farm), no state has a licensing or registration requirement for that.
A person can purchase a car and have no obligation to register it, to license it, or even be licensed themselves, as long as it is only used and stored on private property. You can keep everything from a Formula One racer to a military issue HMVEE with no issues.
So are you proposing an equivalent solution for firearms?. To be able to possess pretty much anything you want, as long as you don’t take it out onto public areas?