and also as a ring-bearer I think gives him an intuitive power he wouldn't have possessed as an "ordinary" Hobbit.

"But I am not such a man. Or I am wise enough to know that there are some perils from which a man must flee"

A subtrope of the Action Hero, a Hollywood Action Hero is The Hero of a Summer Blockbuster Action-Adventure Movie. He (and it's almost always a he) is usually defined by a few specific traits that separate him from other types of heroes:

• Personality: Usually a Hollywood Action Hero is either stoic and glib or wisecracking and jolly.
• Intellect: Usually Book Dumb but deadly practical with weapons and vehicles of all types.
• Morality: A few are Anti Heroes but most are plain old heroes who are morally upright. That doesn't stop them from killing mooks, but causes them to deliberate a bit before killing villains.
• Aesthetics: Usually rugged and unshaven, often muscular, and usually scarred.
• Martial Ability: They'll of course be Made of Iron or just plain made of hit points, soaking up tons of damage without stopping. They'll rarely fight with anything more complex than Good Old Fisticuffs and a trusty BFG [I assume this means Big Fing Gun, not Big Friendly Giant -- interesting transtlantic difference ] or Hand Cannon. Some may use a big blade if it's personal.

... Hollywood Action Heroes rarely have superpowers, perhaps because they tend to fit a male viewer's "fantasy" of their ideal self, a strong warrior Übermensch type who kills bad guys, does good, and gets the girl.
TV Tropes: Hollywood Action Hero entry

Any problem can be solved by the application of a fist to the right guy's face.
This is the Action Hero's primary operating procedure. An Action Hero is a form of protagonist who primarily uses their fighting skills to achieve their goals in a story.

...the Action Hero's storylines are limited to the sort of thing where punching someone in the face actually would solve the problem, unless they're explicitly being taught An Aesop about how "you can't solve all your issues with violence", or they're being set up to fail. Relatedly, the climax to an Action Hero's story almost always culminates in a Final Battle of some sort. While the Action Hero often follows the trope Dumb Is Good, resulting in an Idiot Hero, that need not always be the case.
TV Tropes: Action Hero

If the Ring tortures everyone in range like this, it would seem natural to see resistance to it as a demonstration of power or virtue. Characters who resist are presumably superior in terms of courage, grit, reslilience, purity etc. Or perhaps in Middle-earth people can be superior Racially - the "Men are weak" idea from the New Line movie, or Frodo being "peculiarly resistant to its evil" (or whatever the exact movie-Elrond quote is).

Faramir's actions are practical, even ruthless at times. He arranges a classic ambush and kills all the enemy soldiers like he's used to that kind of thing (and he clearly is). The line in the movie about him assigning humanity to his enemies actually belongs to Sam's thoughts in the book. (Also, Darkstone quoted in an earlier post had some really good points about Faramir's interrogation techniques. Faramir is not as nice as many people think.)

Faramir is not the nice person everyone thinks him to be.

After that, his very real character: compassionate (treating Sam and Frodo with great kindness and consideration in his sendoff): just (for instance, honoring Frodo's commitment to Gollum, which didn't necessarily make the best strategic sense, therefore putting justice before expediency when he was able to do so--not always possible in a war for Faramir or anyone in charge); and not thirsting for power which if he had, like NoWiz said, would make him more likely to " . . . want to, at least a little bit." Instead he let the ring go.

Nobody is tough enough to be 'superior' to the Ring in this conventional, machismo way. I think that's absolutely clear*. Those who are foolish or hubristic or desperate enough to think it would be a good idea (Saruman, Denethor, Boromir) come to bad ends. It is much wiser to do the thing that does not look conventionally heroic at all - flee.

Well, Frodo, now at last we understand one another. "If you took this thing on yourself, unwilling, at others' asking then you have pity and honor from me. And i marvel at you: to keep ithid and not to use it. You are a new people and a new world to me. Are all your kin of like sort? Your land must be a realm of peace and content and there must gardeners be in high honor."

"Time passes. In the morning we must each go swiftly on the ways appointed to us."

Faramir also, interestingly, goes into his feelings of sadness as to how warriors and soldiers have becomes the ideal of Gondor, the truly treasured members of society, as warfare becomes never ceasing: “…we now love war and valour as things good in themselves, both a sport and an end.” Later he will consider the Shire, with its love for peace and green gardens, as a place to be treasured. It’s not hard to see a certain amount of Mary Sueing going on in all that, with a post-war Tolkien creating a character who openly places peace above war and decries militarism, save in the case of fighting an enemy that cannot be resisted by any other means: not hard to see a Nazi Germany allegory there too, the spoken intent of the author aside.

I was reminded here very much of the idealisation of soldiery evident in much of Europe in the late 19th and early 20th century, when such a profession was seen as the ultimate expression of masculinity and patriotism, feelings that surely must have influenced Tolkien, who lived through the horrors that such thinking birthed between 1914 and 1918. Perhaps Faramir, speaking of his reluctant acceptance of such a role, the soldier fighting only because he feels he must, is somewhat of a mouthpiece for Tolkien himself.

The Lord Of The Rings, Chapter By Chapter: The Window On The West, 2011, by Never Felt Better