I may be wrong. But I don't believe the sticky ignition is your problem. That usually involves not being able to turn the key to the on position. I've never heard of that problem locking your key in the ignition. I am assuming you can't turn the key in either direction, right?
Look and see if your wheels are turned all the way to the left or right. If they are then it might have put back pressure on the locking mechanism when you shut the car off.
So, try this before you go wild with a drill. start rocking your wheel forcefully in the direction the the wheels are turned while attempting to turn the key. You may have to to put some oomph into it. No harm in trying.