Not interested. Such a proposal would punish those who are not guilty of anything. That's not acceptable.

I would suggest treating households with a dangerously mentally ill occupant the same as one with a convicted felon. In that case, yes, the weapons would need to be stored off the premises...at a place of the owner's choosing, not the police.

That's not a perfect solution, either, but solves the problem you're trying to fix while minimizing the infringement on everyone else.