Good luck with trying to cut the bb axle 😉 I stopped after 10min trying to cut through it and there was just a scratch. It's quicker to cut a wedge out from the crank arm and than use a hammer to take it off. You will be able to re use the bb, but not the crank arm. I almost cried when I was cutting my almost new XT cranks. Quicker way would be using a drill as it will take You some time with a hacksaw. It didn't hurt that much when it happened in an Alivio crank, got a new crank puller (lost the self extracting screw somewhere in the Pentlands) and it stripped the thread, I asked myself "WHY ME?!" 😉
I went to two bike shops and they couldn't come up with anythin more creative than cutting the wedge out and that will make knocking the crank arm off the axle easier.
Only thing I can add is that although the BB was ok, due to the hits and hacksaw it developed some creaking noise and play after about 2 weeks (was fine before).