Meanwhile improvised bombs seem to be far more important to and effective for a modern insurgency than firearms.
Add in that it sure seems to be more common to read about private militias aiding an authoritarian coup than successfully resisting it and I think the pro-widespread-individual-firearm-ownership faction has an uphill battle just to demonstrate that the practice is a wash, let alone beneficial to the preservation of liberty and democracy.
There are a few cases of private arms being used in anti-corruption "wars" or stand-offs in the US, but at least as many in which they're used for essentially the opposite purpose (supporting anti-liberty, and especially racist, policies and actions). In any case, the national guard stepping in tends to end these in a hurry.
The notion that the 2nd amendment is vital to the preservation of liberty and democracy in 2022 seems to be dubious at best. I'm not in favor of a blanket gun ban but I think that particular argument in favor of gun rights—which seems to be what anti-gun-regulation folks fall back on very quickly, when challenged, which makes sense as it's the reason given in founders' writings and, arguably, in the constitution—is, at best, pretty weak.