No.
If you want 'us' to say united, you need a Narrative. First is a sympathetic speaker. Second is a Villain. Third is a clear, short, reasonable message.
A woman who protected herself with her gun is a good speaker. A disabled veteran being bullied is a good speaker. Facts and logic don't persuade; emotional appeals from people vested with authority by virtue of their victimhood appeal.
Violent felons and mentally unfit people are good villains. "Band together to protect the gun rights of the mentally unfit" is not a serious policy proposal. Trying to stake out a position so far outside the mainstream will only erode support. In any fight for the Narrative, if you are only willing to say nice things about your enemies, then you accept being cast as the Villain. Protecting video game companies (or their customers) is not a message.
Who is your villain? Pick the wrong one, and you've gone beyond the pale, offending your target audience. In an ideal world, the teacher's union would own the blame for a murder-a-day in Baltimore and Chicago, or the Housing Authority. It isn't easy to pick a good villain. Right now, your bad-guy seems to be shadowy bully bureaucrats who low-information voters don't believe exist.
This message is too far-fetched to get support: Hold certain political beliefs? Mentally unfit, no guns allowed. Disagree with homosexuality? Mentally unfit, no guns allowed. Believe in creationism or some other religious doctrine? Mentally unfit, no guns allowed.. That message doesn't scare enough people. You need a better message. 15 seconds of footage (with statistics overlaid) of baby-nappers, or home-invaders getting paroled, will get you support. Some whacko puts a few needles in a few jars of acetominophen, and middle-America fully backs sweeping inconveniences to opening their medicine. Find the right Narrative, the right reason to convince low-information voters why you having a gun is a good idea, and you've got a product you can sell.
Separately, try to portray yourself as a winner protecting victims, not as a victim. America loves a winner. One commercial proudly showing gun owners as manly men and womanly women will do more to win over low-information voters than a thousand hours of Feinstein and Bloomberg's prattle. Think about how well Charlie Sheen weathered his meltdown, just by being an Alpha Male. Gun Ownership naturally fits with the Alpha image. You shouldn't need to worry about whether hunters or revolver owners will fight for you, you want them rushing to identify with you.