Well, I think levels of involvement vary from place to place. In Delaware, the people I see in gunstores and the range the most often are white guys that drive pickups, but the second most common are middle- to upper-middle-class African Americans.
As for shooting sports, which for the sake of discussion I'll use in the sense of games (such as trap, skeet, blah blah), it's almost exclusively pickup-truck white people, which I think has to do with what it takes to get into games vs. into paper-punching: a person can figure out paper-punching for themselves, and is mure likely lured in by practicality that comes along with the fun of it. It seems like that for black shooters, the practical merits of shooting sports are a bigger (though not necessarily biggest) attraction of shooting activities; for hardcore white shooters, despite all our talk about practical this-and-that, it seems that the shooting itself is what is central, with the practical stuff being a justification rather than a motivation. Furthermore, with games like skeet and trap, a person arguably needs both a certain knack for that kind of shooting and lessons right from the start; they are way more likely to get the latter if they already have a family-member or acquiantance who plays that game--I've seen people try to jump into a game of trap or skeet just for the sake of general shotgun proficiency, and it's not pretty. On this subject, a person doesn't need to have the hyper-competence that something like skeet or silhouette shooting fosters, to defend themselves perfectly effectively or even to hunt with great success--in these sorts of games, being really good is just an end unto itself. Anyway, as time goes by, and black and white subcultures intermingle more and more, the shooting culture of country white folks (the only people still doing shooting sports, since they died out among the upper-class along with steeplechase and foxhunts) cross-pollinates into black culture.
Another factor at work might be the relatively uncompetitive nature of shooting sports. Watching the people in my dorm play videogames together, I noticed that black players gravitated to the very top of the skill ranks; with time, it became clear that this was because their enjoyment came out of the competitive aspect of the game, whereas the other players appeared to play merely for mindless relaxation, deeper escape into the games' plots, the social interactions that happened around the game consoles, or the affirmation of their own nerdiness. (Essentially all involved, just like essentially all at the school, were huge nerds regardless of background.)
While I think this same competitive mode of consumption (with the same cultural lineage, to boot) is also present to an unusually high degree in the white culture from which hardcore shooters come from, I think another central part shooting culture is a certain recognition of and revelry in the absurdity of what is being done. Is this now how we appreciate bull-riding? My former nextdoor neighbor's friend owns two MiG-21s and two MiG-23s, which he picked up for $100,000 each; the awesome over-the-topness of simply owning such jets, let alone breaking the sound barrier in them, comes from an enjoyment that has the consumer say, "I can't freakin' believe I'm doing this," and then laughing (cackling?) at the hilarity of the action's fundamental absurdity. In the same way we get so much amusement out of fooling around with fireworks (if not worse), we get a kick out of watching Bob Munden shoot two balloons with a speed that would be parody if it weren't real, or owning a Lahti 20mm, or shooting skeet so much that we endeavor to score perfect rounds wrong-handed. (I've known at least one person who has successfully done that latter.) When a person holds the record for the most RBIs, or field scoring, or passing yards, it's just plain impressive; when a person has the distinction of jumping the Snake River on a dirt-bike, it's still impressive, but in a different way.
