I'd be curious to know the state of gun proliferation at this point.
We know that the Rumsfeld Republicans (Dick Cheney stated that the Second Amendment was the only amendment they would keep) and the Libertarians were certainly opposed to gun control.
In addition, I imagine that a sizable part of the WTP and other radical left parties are opposed to gun control. Keep in mind that the New Left radicalism of the 1960s at best, mellowed, and at worst, intensified throughout the 1970s as it became more politically active. Under Rumsfeldia, this radicalization would only increase, especially with the intense surveillance and social stigmatization of the inner city populations. As the revolution was not to be fought with spoons, radical groups of the OTL 1970s like the Weathermen were certainly opposed to gun (and not to mention explosive) restriction.
The strong African-American tinge of the left in the 1970s and 1980s also increases the likelihood of the attitudes of 1960s Black radicals surrounding guns to persist for longer. The Black Panthers liked to walk in white neighbourhoods with their guns prominent and visible as way to create empathy at the idea of having a hostile outside force (the white racist cops) in black neighbourhoods In 1967, a group of Black Panthers marched on a state legislature announcing, "The American people in general and the black people in particular must take careful note of the racist...legislature aimed at keeping the black people disarmed and powerless Black people have begged, prayed, petitioned, demonstrated, and everything else to get the racist power structure of America to right the wrongs which have historically been perpetuated against black people. The time has come for black people to arm themselves against this terror before it is too late."
The punchline...the legislature was that of California Governor
Ronald Reagan!
Uhh….
Well...
OTL, the rationale for the right to bear arms is that a group of Americans, armed with weapons, could defend against a federal government that went berserk.
ITTL, that ideal has seemingly come true. Texas, the Libertarian West, and the Northeast are areas that have managed to resist a nightmarishly evil federal tyranny. I imagine the former two places will be especially eager to gloat about how they, a bunch of armed citizens defending against liberty, managed to beat back the Christian Values Party.
But in reality, the success of these resistance movements, like all resistance movements, can't really be credited to the actions of the rebel forces.
OTL, here are the things that make a rebellion successful: staggering military incompetence of the oppressor, aid from outside powers, or the oppressors growing tired of fighting and abandoning the fight.
Rebellions usually fail because the people rebelling, however brave they are, are usually isolated from any kind of help, or their rebel movement is of no interest to any major rebel force.
The OTL American Revolution succeeded not merely because of American know how, but because the French monarchy, oddly enough, sought to weaken British power.
The OTL Soviet-Afghan war was, for a short time, largely in favor of the Soviets, but then American military aid rescued the mujahedeen from destruction.
The OTL Portuguese Colonial Wars and the OTL Vietnam War faltered because Portuguese and Americans were growing increasingly tired of fighting a futile war in the third world, and again those rebel movements only succeeded because of help from the Communist bloc.
The Warsaw Ghetto Uprising was an act of incredible bravery, but because it was so isolated from any outside help, it ultimately was futile. The Warsaw Uprising failed because Stalin didn't send any help to the Polish resistance fighters, wanting them weak enough so that he could occupy Poland with ease.
ITTL, Alabama under Wallace tried to resist, but isolated from any meaningful military or economic aid, they were pretty much doomed from the start.
ITTL, the resistance in Texas, the Northeast, and the Libertarian states has succeeded because the outside world found it strategically beneficial NOT to have a deranged theocracy controlling the United States. They also succeeded because Rummy's horrific mismanagement of the military meant that the CV had to rebuild their army from the ground up, hence the use of forced labor by "moral criminals" to rebuild the industrial infrastructure of the United States. Had the army not been desiccated by Rumsfeld's free market ideology, they probably might have had an easier time of crushing these rebellions.
Rummy had to have been aware that totally unrestricted gun rights meant that people opposed to his regime could arm themselves. Then again, he probably assumed that left-wingers didn't have the courage to handle guns.
Actually, arming left-wing groups would definitely have served Rummy's purposes well.
Remember, Rummy's propaganda was portraying the Democrats as being controlled by liberal socialist WTP, who are the "ghetto" party in the eyes of most Americans. An uprising by a radical black nationalist party is exactly what Rummy wants, because he can portray it as "liberal leftists supporting anarchy, while Rummy supports freedom through order." Again these black nationalists, for all their good intentions, probably are damaging their communities more then they are damaging Rummy. They would have very little hope to hold out against the largest, most powerful army on Earth.
Right wing militias, like the ones that popped up in the OTL 1990s, are probably not all threatening to Rummy. For a short while, at least, Rummy would be seen as a hero to these right-wing nutcases. Many of them probably ended up in the Liberty Battalions. Any that would rise up would, again, be facing off against the largest army on Earth, and there wasn't any attempt by outside powers to fund a Second American Revolution against the Rumsfeld administration.
I can see the CVs become more two-faced about weapon ownership, allowing loyal citizens and especially those of "proven moral and religious character" to obtain weapons easily, though there'd be some limits on what even they can buy. Those with 'less certified moral character' will have demerits and grey marks against them that would prevent them from getting anything anything stronger than a handgun. Inner city residents would be regarded as criminals and would have to rely on the black market to get anything - which certain corporations and less scrupulous Holy Battalion members would be happy to supply unless the CVs take efforts to stop them.
If anything, though, it just means the CVs make sure the HBs are armed with heavier stuff.
Again, it wouldn't really matter. The average person with a handgun, or even of rifle, wouldn't be able to do more then just clip one of two CV agents before being either arrested or killed. And cities that revolted couldn't obviously defend themselves from a nuclear attack.