First off, stop calling it 1200 watts. Don't even think it. It is 240 watts (that is even debatable). Thats it. You have 2 240w lights. I don't care if they say they are 10w leds. The only thing that matters right now is how many actual watts the lights draw. You have 480 watts of bottom tier efficiency led lights. Do not utter 1200 watts or you have not learned anything. Not a peep.
You have 480 watts of led lighting that is roughly equivalent to 480 watts of HID lighting.
Get yourself a kill-a-watt meter and see just how many watts the lights are pulling.
Have you ever seen a swap meet car stereo amplifier that is labeled as a 1000 watt amp for like $20? Or a 10" subwoofer labeled as 3000 watts? Same thing as your lights.