The only thing that comes to mind for me that I *might* support would be a requirement to keep all weapons located in my home locked in a safe, except for those in my immediate possession
Your home is a safe - lock the doors. What the .gov requires one to do in their own home is a slippery slope. (not saying that locking your guns up is not a good idea on several levels)
I would support laws that greatly increase punishment / mandatory sentencing for theft of a firearm. Put the burden on the BG, not the GG. I feel this is something the NRA should be pushing.
Also, along the lines of our "super drunk" law here in MI, we could have a "super B&E" law that doubles / greatly increases the punishment for B&E on a house containing a firearm.