answer to your question... hopefully
i dont know if i have the answer to you question exactly, but it is possible to drive a manual transmission car without using the clutch. when you are moving at the right speed, and revving at the right rpms, you can work with the synchros, and actually shift into the next gear. it sounds wierd, but its true. when my girlfriends clutch cable snapped, her clutch petal was stuck on the floor. i drove her car to a clutch shop without using the clutch, with no damage done.
since you clutch is working, you can start the car normally, and accel in first gear normally, but try this, when you are going about 20mph, at about 2000 rpms, release the gas slowly and gently move the stick into second gear. you might have to rev around 2500rpms, but it will go smoothly. for third gear, same thing but you have to be going about 28mph, and fourth gear same thing at about 38mph, fifth gear same thing at about 45 mph. it might be a little tough at first, but once you get the timing down, its simple. i hope this answers your question. good luck