By stricter gun laws, I'd suggest such things as mandatory training and licensing.
And who has to make sure everyone gets a license and is trained? What kind of program is sufficient? What kind of license does someone need? Do all current gun owners have to go through these same requirements? These are all relevant questions that make your idea a false hope because it is going to expend a vast amount of government resources to implement and we just don't have the resources available to do such a thing.
Mental health care is not something we would "enforce".
Thank you for your obedience but I'm not sure why you were so hung up on the word enforce. Clearly a prospective gun owner would have to go through a mental health check sufficient for the government to render them capable of owning and handling a firearm. Surely this would require some level of enforcement to make sure (1) that the mental health check is being followed appropriately and (2) that the people who own guns meet this requirement. Then you have the issue of competency and incompetency to own/handle a firearm, which may cause re-testing if necessary.
We have issues treating mental health for some reason. I saw several articles on Penn Live last week about poor mental health care in our criminal justice system. If we'd figure out how to get these people treated properly, maybe they never enter the prison system in the first place.
There's plenty of literature regarding this topic if you want to do more research on it and think if you are interested you may want to expand from PennLive. I've been researching it often because I've been wondering if I've been going through some kind of depression and/or anxiety over the past couple of years. But I think a large part of it is that the public just doesn't understand much about mental illness and how it impacts a person. It's a hard topic to read about and understand, the fact that the criminal justice system may be guilty of this as well just speaks to the difficulties it is to figure these kinds of things out. A lot of the science is good but it's just not well known among the population.
Almost 15m people are depressed in the United States in a year, and almost 40m people are diagnosed with generalized anxiety disorder. Sure there's some overlap but we're talking about approximately 1 in 4-5 people having some kind of depression and/or anxiety.
Personally speaking, I think finding more and properly diagnosing mental illness would go a long way as opposed to finding some haphazard way to enforce gun laws because more people die of depression related suicide than homicide. Let's figure that out, then move on to guns if they are still the major issue. Guns are so entrenched at this point that I find it nearly impossible to find any readily available solution for the US.