Had exactly the same thing happen on my 2011 Edge SEL (56K) last night. Approached a junction pressed on the brakes as usual and... Uh oh after a split second of oh S@&T I stood on the pedal and stopped. Just dropped the car at North Central Ford here in Dallas, awaiting their verdict.
This should be a recall, but this is a bean counter spreadsheet exercise until someone is unfortunate enough to have a really bad wreck or worse.