So how does this work in a traditionally free country like America, where conservatives favor freedom of the individual
Not so much. Conservatives favor a certain subset of individual freedoms. Liberals another subset. And libertarians pretend that all freedom is individual freedom and that societal freedom is not a thing.
Do you want the freedom to not have health insurance, and force society to cover the bill when you go to the ER, that's conservative freedom. Do you want the freedom to have health insurance options available to you even if you leave your current job, that's liberal freedom. Do you want the freedom to not have health insurance and when you get sick, you die, that's libertarian freedom.
Or differently, do you want the freedom to own any handgun you'd like, that's conservative. Do you want the freedom to expect most people you meet are not carrying a gun, that's liberal. Do you want the freedom to own a tank if you very well please, that's libertarian.
None of these perspectives are wrong, per say, just each has it's own blind spots. You might say libertarians are "intellectually pure", but do we really wish everyone who wanted a tank owned a tank? Or that heroin were as legal as coffee? Or even that my neighbors individual freedom to run a 130 decibel disco at all hours of the night trumps the right of me and all my neighbors to force him not to through land use codes.
And on the topic of the article, I've seen it argued here that liberals are fearful because they don't like guns. But you can really argue that either way. 1) Liberals are so scared of guns they want all guns banned. 2) Liberals are so brave about guns they are willing to risk their lives by leaving home without one. The lens you look at each of these questions through shapes how you interpret the results, which I think we've already seen in many of the responses.