At first this sounds OK, until you realize that the term "large aircraft" was defined in the 1940's as any aircraft with a maximum take-off weight of 12,500 pounds. This includes bizjets like the Cessna Citation II or the Learjet 35 as well as larger prop planes like the Beech King Air 350 and the DC-3.
Some of these aircraft are owned by private individuals, many of whom fly their own planes. Doesn't matter. The owner would still have to be fingerprinted and undergo a background check just to fly his own airplane! And he couldn't bring a bottle of water, gel insoles, more than 3 ounces of shampoo, a letter opener or a screwdriver on his own airplane!
This proposal will decimate the aircraft industry. Compliance with these new regulations will be very expensive (not to mention invasive of privacy), and with the rising cost of jet fuel and avgas, many companies and individuals who would have purchased a business aircraft will look elsewhere for their transportation needs.
If this passes, it will only be a matter of time until the TSA tries to apply it to all aircraft regardless of size.