Who's giving the psy eval? Is it Jim Bob from the county who hates blacks and LGBTQ+? So he denies all those applications and allows just his white friends to get firearms?
And no it will not make it harder for them to get firearms. There are 450+ million of them get over it.
I love firearms. They're fun. However, they're also dangerous, to yourself and others. I believe there should be requirements for background checks, mental health evaluations, and also mandatory training in the operation, maintaince, storage (1776 is not a good combination, and firearms are the most stolen items), and transportation of your firearm, as well as training on the legality of its usage, all of which is tested and must be passed. This should probably be funded with taxes as well, to ensure poor people aren't deprived of their rights.
To claim this position is "anti-2A" is disingenuous at best. Hell, the 2A is written in a way that I don't think it applies anymore (the protection of a free State does not require a well regulated militia if we have a standing professional military, which wasn't expected to be a thing at the time), but I still think firearm ownership shouldn't be banned. It should be regulated, like car ownership is which is almost required to live life in the US and is designed for transportation, not killing things.