I bought a new mountain bike this year to replace my 30 year old Raleigh Record. The first time I hit the DISC BRAKES, I went over the handlebars, onto my new helmet. MY fault, but thankfully I had bought a helmut. So I guess I ruined my lawsuit but kept the use of my arms and legs.
If they're that sensitive, I'm willing to bet that you have mechanical disc brakes. I just upgraded to Hayes Hyrdolics and man, the difference is amazing. You can really modulate the hydrolics without any fear of over braking...unless you really want to over brake, then the power is definately there.