2005 Ford Focus Clicking Noise

Ok in my wifes 05 focus every once in a while I hear a clicking noise repeatedly from what sounds like under the hood or somewhere under the dash. When this happens my lights dim the radio cuts in and out and my car hesitates when pressing on the gas. If I turn my car off while its doing this then it cuts everything off. No lights, no radio no nothing and it seems like the anti-theft turns on preventing me from turning on the car. When it comes back to life my radio has been reset and shows back to 12: 00 o clock like all power in the car went out. But when this clicking noise isnt happening my car works fine. This problem has become an issue pretty much every time we drive it. A couple times, after I have turned the car off there's been a separate clicking noise under the hood and I've had to unplug something (see picture) to get it to stop. After a while I plug it back in and it's not making the noise anymore. Oh yeah, the clicking noise is coming from behind the drivers side of the dash, far left side. I would really appreciate any help I can get, thanks