Date.parse("01/01/2016 Fri") // NaN
moment("01/01/2016 Fri") // false
Look in the Moment docs to see how to parse a date in any format. The first argument is the date string, the second is the format string. Alphanumeric characters are ignored, so you don't need to worry about slashes vs. dashes.
moment("01/01/2016 Fri", "MM-DD-YYYY ddd)