He also pushed for more background checks and better mental health care.
Remember that after Sandy Hook, almost nothing happened. For us to get universal background checks alone would be a HUGE victory for gun control.
You already know what is needed for that to happen; make it fast, cheap, easily available, and provides limited liability for sellers who use the system like we want. Things which make it less likely is continuing to insist only FFL license holders can effect transfers, making the cost of checks punitively high to “punish” gun owners, and otherwise making it any harder than it needs to be to comply.