It didn't look like either one of them was trying to hurt the other. They were just trying to make the other one back down, first. Mind you, this is a really dumb idea, but it's on the video. Guys trying to kill one another don't fight like teenage girls.
Comments? Ideally, the stick man should probably have had a gun and shot the bat man. But the broomstick is what he had.
Hell no. Stick man should have locked his door and called 911. If/when the guy tried to enter the vehicle, that comment might have some place.
The guy with the bat taps the door and doesn't even leave a mark, and stick man jumps out of the car and grabs a weapon (miraculously, the bat man who OP would shoot on sight graciously gives him the time to grab a weapon AND take the first swing!) Stickman deserves to be shot as much as the bat man... which neither of them really need to die today, AFAIC.
If you make no attempt to de-escalate, it's dubious. If you escalate, it's simply mutual combat. May the best man win. There is no victim in this encounter. Two idiots and two perpetrators.
Males of many mammal species spend 1000x more time fighting males of their own species than any extra-species competitor/predator. These fights can be extended. And in some cases males develop special physical traits for this exact type of combat. But in most cases, the fights simply end when one male concedes, and no physical harm is done. Adults should know better, but the instinct is still there. If you would have pulled a gun in this situation, you're dumb. If you're old and frail, you're even dumber to pull a gun, first. De-escalate. I.e., accept a "loss of face" in this instinctive male ritual, by "being afraid" to fight and the other guy has nothing left to do but walk back to his car and hopefully not be arrested later because someone called the cops on him. If you can't control your emotions and engage in this foolishness, then at least play by the rules.
Just cuz you're carrying a hammer doesn't make every problem a nail. If you had access to a firearm in this situation, you still had plenty of opportunity to first act like a rational human being that didn't happen to be carrying a gun and to take it from there.
All this talk about poking the guy's eye's and throat out is hilarious. If you're gonna fight like a bitch, just stay in the car and be a bitch. That way no one gets hurt. If you just want to get home to your family, stay in the car and act like a bitch and no one gets hurt. If you are Chuck Norris, stay in the car, and the other guy doesn't get hurt. If you just wanna be Chuck Norris, you fight "fair" to the immortal rules of male dominance; you roll those dice and you accept the consequences. There's no point here where a gun or deadly/maiming blows had any place. You can clearly see neither guy was fighting to kill. Any 10 yr old can see what was happening.
The bat man dropped the gauntlet. The stick man picked it up. If stick man didn't swing, first, there probably wouldn't have been any more fuss other than some harsh words. But stickman was game and swung at the side/thigh. Batman reciprocated with some weak flails of the bat, clearly avoiding the head. Yeah, this is a dangerous game to play with potentially deadly weapons, but there are still rules. In legalese, this might not hold up. But it doesn't matter. When you willfully engage in chest thumping and head-butting with someone, you're implicitly agreeing to an older set of rules. And if you break these rules and somehow manage to legally take someone else's eye or life when it wasn't necessary, karma will get you. Man beats chest; other man maims/kills him; that's skipping a few steps. At no point did stick man feel like he was in any serious danger. Else he wouldn't have gotten out of his car in the first place. He obviously knew why the other guy was angry. And he was obviously all too happy to participate in this game.