Not to bring up a dead thread, but with the cost of quality knives today, you need to know this. Yes, they do check private aircraft. They have metal detectors in the majority of big city "General Aviation" airports. Washington, Baltimore, NYC, Atlanta, Chicago, Las Vegas, Miami, St. Louis, KC, Dallas are a few just to start. A GA airport section in a larger complex such as described above have TSA officials at each gate. You will go thru a magnetometer, and your baggage, both checked and carry-on, will be swabbed for explosives residue. Your carry-on may or may not go thru x-ray, depending upon the proximity of potential terrorists' targets nearby.
Now, an airstrip and gate facility in Nowhere, North Dakota, if unmanned or staffed only by servicing employees (fill 'er up please) and an airport "manager" during normal business hours (6 AM to 6 PM), no, you shouldn't have any problems. You can easily identify these airports by not having tarmac and take off control radar, and no real tower.
Just a heads up....
Papa Victor 500 out.
Beech Super King Air 300