Thoughts and prayers.
It's easier than solving the problem!
One thing I don't understand about the NRA is they say "guns don't kill people, people do", but they don't seem to be particularly interested in keeping guns out of the hands of people who might be more inclined to kill others.
There are two things that you can be referring to with this.
The first is the opposition to expanding background checks. Opposition to this is based on significant flaws in the proposed legislation that would provide no benefit to anybody (greatly increasing the burden on the system without providing any safety, as well as imposing a significant burden on the individual gun owner), and (more importantly) on the fact that none of the proposed legislation addresses the actual flaws. The so-called "gun show loophole" played a part in one or two major incidents, but in all such cases the transaction was already illegal - the seller was buying guns for the purpose of resale, which is illegal without a Federal Firearms Licence (the private transfer laws are intended for a "I never shoot this one anymore, might as well sell it for bullet money" type situation) that the seller did not have. The ATF has done a very good job dealing with this problem by cracking down on sellers since - no extra legislation needed.
Meanwhile, the most common failure point in the system is people passing the background check when they shouldn't be able to because a local, state, or military violation didn't get entered into the system properly - something that the "Universal Background check" laws rarely address, but was addressed by the "
Fix NICS Act passed and signed in 2017. This, of course, does not immediately cause all pre-2017 disqualifying events to be entered, but will do a great deal to help going forward.
The second thing that you could be talking about is "red flag" laws that allow a court to confiscate firearms from somebody deemed to be a threat to themselves or others. The primary opposition to this is one of oversight - not only are there grave concerns that somebody with a grudge could make somebody's life extremely difficult by seeking such an order (most proposals set the bar for a complaint
extremely low), but there have already been so many cases of police agencies using the "we don't have grounds for a warrant, but if we we red flag them we don't need a warrant to conduct a search" tactic that the ACLU is taking states to court over it.