Visualize a broadhead arrow like this in your guts, and tell yourself a bullet would be more lethal.
At ranges under 50 yards, an arrow is just as lethal as a bullet, and the arrow can be cut out of the target and used again. It is also relatively silent, and has no muzzle flash. If an archer shoots you on a dark night, you will never see where the arrow came from, and your friend standing next to you will likely not immediately notice you were hit.
Swords, spears, and halberds never run out of ammo and don't jam. You can also select the degree of wounding you wish to inflict in your target, from a minor scratch to convince him to leave, to spilling his intestines across the driveway.
They had a bizarre case here in New Jersey several decades ago involving an urban mutant who tried to assault and rob a bus driver (in Jersey City, I think). Turns out the driver had been robbed several times before, and had armed himself -- with a hatchet.
Eyewitnesses on the street outside the bus reported that the bus came to a halt, the door opened, and the thug's lifeless body got dumped out by head-first -- with the hatchet still stuck in the skull -- by the driver who had clearly "gone rogue" by this point. Unfortunately (or fortunately), the thug's legs were still inside the bus when the driver closed the door, so when the bus pulled away and sped down the street several blocks of onlookers were treated to the sight of the spectacle.
I think the Jersey City bus system was crime-free for several months after that incident.
Another bonus: no registration requirements with bow and arrows, hatchets, axes, machetes, etc. They would seem like a good backup in case the gun grabbers manage to grab your guns.
Heck, a stout pole with a fire hardened point could do a ton of damage in the right hands.