Do you want to light the leds while the 555 is triggered? If so, the emitter of the Darlington is only going to pull to [(Voh of the 555) - (Vbe of the Darlington)] - the drop across the base resistor. The base current into the Darlington decreases as the emitter voltage increases, so you cant get it to pull high enough.
I would suggest flipping the Leds and their resistors to the collector side of the Darlington, emitter grounded. This puts 12V-Vcesat = 10V across the Leds and resistors. The resistor that supplies the Darlington base current has 8.8V ={11.3 - Vbe(sat)} across it. 1K would drive the darlington with 8mA, which should do it.