As far as mental health, the mentally ill commit very few crimes and slim homicides. The damage of fear of seeking help because of being labeled are far more dangerous than pushing health providers into becoming cops.
Personally I believe he should look seriously into why more mass murders are committed in Gun Free Zones. Why there is such a racial divide in the homicide rate between the races. As much as some will whine the stats and facts show that most shootings are either black on black. "Assault Guns" are used rarely in crimes. Fully auto weapons have not been used in a crime in decades. Why people who are barred from possessing a firearm easily get a firearm and possess them in spite of laws.
He should understand that he is limiting the ability of abused spouses to get a weapon and have the ability to protect them from harm. Many of these are poor, and minorities who are his constituents. That the rise in prices of ammo, and guns actually punish the poor.
The longer Obama is in office the more he shows himself to be a arrogant bumbling buffoon.