Aren't the switches held together by screws? If so, you could loosen the screws while you bend the switch. You created a HUGE stress concentration at the point where it broke (which is why it broke). If you can relieve some of the stress, you should be good. As suggested above, pliers might help but you still need to be careful. If you loosen the switch up, it won't have that sharp corner it's being forced to bend over.
Oh, and since it's broken already, you could try dremeling away some material on the back side to allow for soldering to. You would want to disassemble the switch first if you do that cause you will likely melt the plastic part of the switch otherwise.
Good luck!