And the reality is that legally purchased guns account for a tiny fraction of gun crime. Stopping every gun purchase by even a would-be criminal is going to do very little except to the suicide rate.
And the "unremarkable" measures often have nasty hidden details. Mandatory safes? Just exactly what do you count as a safe? Doesn't take much of a requirement on a safe before it becomes something that can only rest upon a proper foundation--thus completely prohibiting many apartment and condo dwellers. Put a bolt-down requirement on it and you have disallowed all renters.
Training is looking at it backwards. We have a perfect model of how it should be handled: just look at driving. You pass a test of knowledge and a test of proficiency.