Well, actually, yes, it was. But it's generations gone now.
Many of the cultures which came to the U.S. were "knife cultures." The Spanish with the navaja and, later, the Italians with the stiletto were examples but there are many more.
Most notably, however, the Bowie Knife "craze" which lasted for decades, bookending the U.S. Civil War, definitely was a "knife culture." Bowie Knives were kit for soldiers. Bowie knives and "longknives" (such as the Arkansas Toothpick) were kit for trappers and longhunters. Bowie Knives were fashion accessories for politicians and gentlemen. Bowie Knife duels were fought in the Arkansas state house and in New Orleans beneath what is now referred to as "The Dueling Oaks." Heck, Lincoln's bodyguard was known to carry a Bowie Knife. The U.S. totally had a "knife culture."
But over-hyped newspaper accounts of the time then, as now ("if it bleeds it leads"), lead to a public push, and political "do something" movement, which outlawed the carrying and use of Bowie Knives. You can still see it in many state laws which specifically name out Bowie Knives as prohibited carry items. Further, Britain at the time was (and in many ways still is) very "anti-knife" and, as the closest cultural cousin, had an impact on U.S. culture. This lead to eventually reducing the concept of knife-fighting in the U.S. Besides, most people generally felt that guns were more efficient, an attitude which I can document as being directly applied to knife-fighting and knife-culture going back to the early 20th Century (as well as a specific note of what we now call "The Tueller Drill" or the "21 foot rule.") I can present a ref. on that later if you would like to read it.
Peace favor your sword,
Kirk