Well, since you can't get rid of them, and since "guns for everybody all the time" is a strawman that actually means "guns for people who haven't proved themselves to be a danger to themselves or others yet," I'm gonna say I prefer the "innocent until proven guilty" model.

That still isn't "everybody," all felonies, DV misdemeanors, adjudicated IVCs, children, and drug addicts (admittedly self reported on that one, but still), all bar you from gun ownership even in the land of 600,000,000 guns (not an exaggeration). Actually I even think for nonviolent felons there should be a path back to gun ownership and voting (they also lose that right, as fucked up as it is), and some violent misdemeanors should be added to the list (something like simple assault can be the result of just a fight, but robbery or aggravated battery otoh should probably be on there even in places where it isn't a felony, and it should probably just be a felony in those places too but what can ya do.)

And yes, criminals gonna criminal, but I'd prefer that if they can just get them anyway, so can I. If even in Aus the criminals can still get them, then the US has no hope that we can stop it either. You're an island with 90% unusable territory that only has to control the ports and you still have smugglers, we can't even control our ports either much less the two big ass land borders and we never will, we will always have smugglers.