I have stayed largely quiet on this issue, but I am actually of two minds. On one hand, the individuals who have been issued concealed weapon permits are scrutinized for criminal and psychological disqualifications and often have formal firearm training above and beyond the norm - before they are issued the permit. Further, I believe the State of Texas has kept a record of violent offenders, and the incidence of concealed weapon permit holders among the violators is extremely small. They generally are not a source of trouble.
My personal experience is that most park visitors are so out of their element in a national park that they should not be given license and opportunity to potentially plink, shoot at park animals or another human. I entered the closed society of law enforcement officers in July, 1970 in Yosemite, moved to Yellowstone in 1974 and have been a Wyoming peace officer for almost 27 years. I still comply with the NPS regulations prohibiting firearms, albeit nervously. I still recall standing on the footbridge near Housekeeping Camp while several young men compared notes on the firearms that they had brought with them. I believe my service weapon was being stored in Merced at the time, and I felt vulnerable.
As for the Brady group, I simply choose to not believe a word they say on their motives or rationale, and I believe our nation would be a better place if they disappeared.