To do this repair:
All you need to do is take a nail set or smaller screw driver and drive the pins in about a quarter inch until the pins go past the metal surrounding. Once you do this you can wiggle the broken piece out and insert the new one. Then just hammer the pins in flush with the metal and you are done. If you have broken your handle off flush with the remaining tilt lever, drill two holes about a inch from the edge into the plastic of either side of the broken handle and insert two lag screws. Then wiggle it out.