I drive a 2012 V6 convert. The other day I was at a complete stop at a traffic light, on a flat straight road and when I accelerated to 30 -40 mph the car abruptly pulled to the right, my steering wheel was erratic, and the brake pedal was pulsating, and a god awful noise was coming from the front. At first I thought it was a blown tire the way the car was acting. I got it pulled over and got out to take a look, but everything looked fine. I drove it home with no trouble. This is the second time this has happened. The last time was maybe 6 months ago. If I had been going at a quick pace on a winding mountain road, I would of been in trouble. I need advice on what this might be. ABS? Anti Lock Sysytem? Some advice would be greatly appreciated.

 

The '11+Mustangs have electric steering. I can see that possibly causing what you describe.
I'd see about having the body control module scanned for trouble codes, sometimes they get stored as "pending" and won't actually cause any warning lights to come on.

 

I think it might be caused by the "advancetrac" system acting up, which is part of the whole traction and ABS system but not exactly the same thing as ABS.

I remember some posts about the system going crazy and behaving like you describe a while back; try some searches in the general discussion section on "advancetrac" or "traction control" and you might be able to find them.