Did four LED light bulbs break my light fixture?
Sounds like you broke a socket or wire when replacing the lamps (bulbs). This could have happened with any lamp, it was not the fault of the LEDs.

Try to reset the breaker with no lamps in the fixture at all. Then put in one lamp at a time and try again each time. 

Either way, I'd replace the fixture. If that is not possible financially I would remove the fixture and find the bad wire/socket and remove it.