Alright yes, Tom Woods is a pretty good competitor. (And Han did shoot first which isn't very libertarian) but for the sake of today being Star Wars day, just roll with me.
Libertarianism's pretty simple and straight to the point: don't aggress. The NAP (non-aggression principle) is what keeps a society free and it's the reason us libertarians aren't fans of monopolized state power.
Rather than asking whether or not people should be carrying guns, I think a better question to ask is whether or not people have the right to be able to own one. (Noticed I said "be able to own" not "carry" or "bear".)
I would argue that yes, you have the right to trade so you may own a gun. Once you own it, it's your property and therefore no one has the right to take it away from you. However, that doesn't mean you can do whatever you want with it.
Obviously, murdering someone, no matter the weapon of choice, is never a good thing. But also bringing a gun into another's private property, if they don't allow it, is aggressing. The very presence of a gun in the room (or shop, or business etc.) may actually be aggressing too. It's all about respecting private property.
Han can have a gun, he just can't use it to aggress. (Which he does, but again it's Star Ways day so don't ruin the fun.)
He doesn't want anybody telling him how to live his life. Just leave Han alone! Let him do his own thing, he'll let you do yours. The government, however, can't even exist without aggressing. In order for a state to exist it must tax you first, and all of us libertarians already know that taxation is theft. Taxes aren't voluntary, they're not a donation, if you choose not to pay your taxes Big Brother will come and hold a gun to your head. So, yes, taxation is theft and the government is aggressing.
He's A Free-Market Capitalist
Han's always looking to make a deal. He's always trading and finding a way to make a profit. Yeah, Han can be a jerk sometimes but that doesn't mean we're all like that. In fact, just by making a trade you help another person benefit too. There's plenty incentive to be a nicer and more pleasant person in a private law society, but even if you still choose to be a jerk you're not going to survive without helping others through trade, so, tell that to Kanjiklub. (That was cheesy I know, I'm just having some fun here.)
Someone tell Tom Woods I'm sorry, and May the 4th be with you.