If a small opener is too much to carry you truly are a fanatic.

My winged corkscrew with beer bottle opener at the top of the screw stays in the outside pocket of my rollaboard along with my rounded tip scissors. They go into a dog dish for screening.

Re screwdrivers: TSA forbids carryon of "Screwdrivers (except those in eyeglass repair kits)"

http://www.tsa.gov/interweb/assetlib...d_9_6_2005.pdf