I was going to title this "Guntopia," but that term is already used pretty heavily by the people who would enjoy living in Guntopia.
I had this sudden brainstorm that the best way to bring about the armed society is for the armed to start killing the unarmed simply for being unarmed.
You could set some limits. You could warn the general population that this was going to happen, to give the undecided time to weapon up. You could exempt people below a certain age. Spouses who had signed a dependency contract and wore a badge to signify that they were under the protection of an armed person would be off limits at least for round one. Later, of course, when disputes are settled by combat, it might be necessary to take out someone's spouse to teach them a lesson or to advance the conflict. It's about eradicating dissent, after all. Disagree at your peril. This thing could escalate. When it does, the baddest ass will prevail. And this is how God intended. The quick and the dead.
After the mass slaughter of the pacifists there would still be plenty of firefights. The slaughter wouldn't even count as a firefight. It's more like the extermination of a pest. Once that's out of the way the real fun begins, against worthy adversaries who know the value of combat skill and equipment.
No doubt some defectives would appear in every generation and start whining about peace. A quick one through the forehead will take care of that. Maybe you give them a little time to grow up, but once they hit 18 or 20 they need to start seeing the light or you'll have to put a skylight in their skull.