Sounded to me like the skidding problem boiled down to a well worn tire. Experimenting is fun, get a new 2.35 Maxxis Ardent or check out this site, they always have tires reasonable:
http://www.blueskycycling.com/cat-tires-accessories.htm
You can also check weight and construction.
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I think its disgusting and terrible how people treat Lance Armstrong, especially after winning 7 Tour de France Titles while on drugs!
I can't even find my bike when I'm on drugs. -Willie N.