I agree with Eagleks. Hound this jerk to the ends of the earth on the false report. I'd not stop until the monkey spends a couple of thousand on an attorney to keep his butt outa jail, or what ever. Heck, I'd even say I would strategically let him, and only him see me still carrying my firearm from time to time, if nothing else just to show him you're no worse for ware over the situation. Now that might not be the best reaction, but again, if it's not illegal and you're not breaking any laws to heck with the dirt-bag.
For the record, you handled it way better than I would have..... I would have gone inside relieved myself of my weapon, called the sheriff's department and then went back outside and let the idiot know to hold that thought for a moment, cause I got some folks on their way that would be very interested in the whole situation. IMO, it's perfectly fine to walk away from a stranger that flings an insult your direction, but a neighbor, heck no! That clowns gonna know that, there's at least two alpha's living on that block, and by verbally threatening you with violence, he just put a price on his butt, one that you'll be happy to cash in for him. Bullying went out in high school, IMO the guys an idiot and should be both avoided and treated like one at the same time.
My advice. At the first sign of trouble with that nut, call the police and let them handle it from the word go, he's obviously a moron so it won't take long before the local Law Enforcement peg his as a instigator and shut him down. JMO, YMMV
